| Year |
Citation |
Score |
| 2024 |
Ablowitz MJ, Nixon SD, Cole JT. Switching via wave interaction in topological photonic lattices. Optics Letters. 49: 734-737. PMID 38300102 DOI: 10.1364/OL.510326 |
0.566 |
|
| 2022 |
Ablowitz MJ, Been JB, Carr LD. Fractional Integrable Nonlinear Soliton Equations. Physical Review Letters. 128: 184101. PMID 35594099 DOI: 10.1103/PhysRevLett.128.184101 |
0.456 |
|
| 2021 |
Ablowitz MJ, Cole JT. Transverse Instability of Rogue Waves. Physical Review Letters. 127: 104101. PMID 34533341 DOI: 10.1103/PhysRevLett.127.104101 |
0.338 |
|
| 2021 |
Ablowitz MJ, Cole JT, Hu P, Rosenthal P. Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators. Physical Review. E. 103: 042214. PMID 34005978 DOI: 10.1103/PhysRevE.103.042214 |
0.328 |
|
| 2020 |
Ablowitz MJ, Cole JT, Rumanov I. Whitham equations and phase shifts for the Korteweg-de Vries equation. Proceedings. Mathematical, Physical, and Engineering Sciences. 476: 20200300. PMID 32922155 DOI: 10.1098/Rspa.2020.0300 |
0.497 |
|
| 2020 |
Ablowitz MJ, Cole JT. Solitons and topological waves. Science (New York, N.Y.). 368: 821-822. PMID 32439777 DOI: 10.1126/Science.Abb5162 |
0.358 |
|
| 2020 |
Ablowitz MJ, Cole JT. Discrete approximation of topologically protected modes in magneto-optical media Physical Review A. 101: 23811. DOI: 10.1103/Physreva.101.023811 |
0.427 |
|
| 2020 |
Ablowitz MJ, Luo X, Musslimani ZH. Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons Nonlinearity. 33: 3653-3707. DOI: 10.1088/1361-6544/Ab74Ae |
0.538 |
|
| 2019 |
Ablowitz MJ, Hammack J, Henderson D, Schober CM. Modulated periodic stokes waves in deep water Physical Review Letters. 84: 887-90. PMID 11017397 DOI: 10.1103/Physrevlett.84.887 |
0.472 |
|
| 2019 |
Ablowitz MJ, Cole JT, Rumanov I. On the Whitham system for the radial nonlinear Schrödinger equation Studies in Applied Mathematics. 142: 269-313. DOI: 10.1111/Sapm.12254 |
0.533 |
|
| 2019 |
Ablowitz MJ, Musslimani ZH. Integrable nonlocal asymptotic reductions of physically significant nonlinear equations Journal of Physics A. 52. DOI: 10.1088/1751-8121/Ab0E95 |
0.559 |
|
| 2018 |
Ablowitz MJ, Feng B, Luo X, Musslimani ZH. Inverse Scattering Transform for the Nonlocal Reverse Space–Time Nonlinear Schrödinger Equation Theoretical and Mathematical Physics. 196: 1241-1267. DOI: 10.1134/S0040577918090015 |
0.54 |
|
| 2018 |
Ablowitz MJ, Feng B, Luo X, Musslimani ZH. Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions Studies in Applied Mathematics. 141: 267-307. DOI: 10.1111/Sapm.12222 |
0.415 |
|
| 2018 |
Ablowitz MJ, Biondini G, Rumanov I. Whitham modulation theory for (2 + 1)-dimensional equations of Kadomtsev–Petviashvili type Journal of Physics a: Mathematical and Theoretical. 51: 215501. DOI: 10.1088/1751-8121/Aabbb3 |
0.424 |
|
| 2018 |
Feng B, Luo X, Ablowitz MJ, Musslimani ZH. General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions Nonlinearity. 31: 5385-5409. DOI: 10.1088/1361-6544/Aae031 |
0.463 |
|
| 2018 |
Ablowitz MJ, Luo X, Cole JT. Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues Journal of Mathematical Physics. 59: 91406. DOI: 10.1063/1.5026332 |
0.51 |
|
| 2018 |
Ablowitz MJ, Luo X, Musslimani ZH. Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions Journal of Mathematical Physics. 59: 11501. DOI: 10.1063/1.5018294 |
0.456 |
|
| 2017 |
Ablowitz M, Biondini G, Wang Q. Whitham modulation theory for the two-dimensional Benjamin-Ono equation. Physical Review. E. 96: 032225. PMID 29346943 DOI: 10.1103/Physreve.96.032225 |
0.556 |
|
| 2017 |
Ablowitz MJ, Biondini G, Wang Q. Whitham modulation theory for the Kadomtsev- Petviashvili equation. Proceedings. Mathematical, Physical, and Engineering Sciences. 473: 20160695. PMID 28878550 DOI: 10.1098/Rspa.2016.0695 |
0.526 |
|
| 2017 |
Horikis TP, Ablowitz MJ. Rogue waves in nonlocal media. Physical Review. E. 95: 042211. PMID 28505851 DOI: 10.1103/Physreve.95.042211 |
0.513 |
|
| 2017 |
Ablowitz MJ, Ma Y, Rumanov I. A Universal Asymptotic Regime in the Hyperbolic Nonlinear Schrödinger Equation Siam Journal On Applied Mathematics. 77: 1248-1268. DOI: 10.1137/16M1099960 |
0.507 |
|
| 2017 |
Ablowitz MJ, Musslimani ZH. Integrable Nonlocal Nonlinear Equations Studies in Applied Mathematics. 139: 7-59. DOI: 10.1111/Sapm.12153 |
0.552 |
|
| 2017 |
Ablowitz MJ, Cole JT. Tight-binding methods for general longitudinally driven photonic lattices: Edge states and solitons Physical Review A. 96. DOI: 10.1103/Physreva.96.043868 |
0.436 |
|
| 2016 |
Chong C, Kevrekidis PG, Ablowitz MJ, Ma YP. Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 93: 012909. PMID 26871145 DOI: 10.1103/Physreve.93.012909 |
0.427 |
|
| 2016 |
Ablowitz MJ, Musslimani ZH. Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation Nonlinearity. 29: 915-946. DOI: 10.1088/0951-7715/29/3/915 |
0.538 |
|
| 2015 |
Ablowitz MJ, Ma YP. Strong transmission and reflection of edge modes in bounded photonic graphene. Optics Letters. 40: 4635-8. PMID 26469582 DOI: 10.1364/Ol.40.004635 |
0.341 |
|
| 2015 |
Song D, Paltoglou V, Liu S, Zhu Y, Gallardo D, Tang L, Xu J, Ablowitz M, Efremidis NK, Chen Z. Unveiling pseudospin and angular momentum in photonic graphene. Nature Communications. 6: 6272. PMID 25687645 DOI: 10.1038/Ncomms7272 |
0.305 |
|
| 2015 |
Ablowitz MJ, Curtis CW, Ma YP. Adiabatic dynamics of edge waves in photonic graphene 2d Materials. 2. DOI: 10.1088/2053-1583/2/2/024003 |
0.378 |
|
| 2015 |
Horikis TP, Ablowitz MJ. Constructive and destructive perturbations of dark solitons in mode-locked lasers Journal of Optics (United Kingdom). 17. DOI: 10.1088/2040-8978/17/4/042001 |
0.339 |
|
| 2015 |
Ablowitz MJ, Horikis TP. Interacting nonlinear wave envelopes and rogue wave formation in deep water Physics of Fluids. 27. DOI: 10.1063/1.4906770 |
0.405 |
|
| 2015 |
Ablowitz MJ, Demirci A, Ma YP. Dispersive shock waves in the Kadomtsev-Petviashvili and two dimensional Benjamin-Ono equations Physica D: Nonlinear Phenomena. DOI: 10.1016/J.Physd.2016.01.013 |
0.551 |
|
| 2014 |
Ablowitz MJ, Musslimani ZH. Integrable discrete PT symmetric model. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 90: 032912. PMID 25314509 DOI: 10.1103/Physreve.90.032912 |
0.484 |
|
| 2014 |
Horikis TP, Ablowitz MJ. Passive mode-locking under higher order effects Journal of the Optical Society of America B: Optical Physics. 31: 2748-2753. DOI: 10.1364/Josab.31.002748 |
0.416 |
|
| 2014 |
Ablowitz MJ, Curtis CW, Ma YP. Linear and nonlinear traveling edge waves in optical honeycomb lattices Physical Review a - Atomic, Molecular, and Optical Physics. 90. DOI: 10.1103/Physreva.90.023813 |
0.469 |
|
| 2014 |
Curtis CW, Ablowitz MJ. On the existence of real spectra in PT-symmetric honeycomb optical lattices Journal of Physics a: Mathematical and Theoretical. DOI: 10.1088/1751-8113/47/22/225205 |
0.456 |
|
| 2014 |
Chakravarty S, Prinari B, Ablowitz MJ. Inverse scattering transform for 3-level coupled Maxwell-Bloch equations with inhomogeneous broadening Physica D: Nonlinear Phenomena. 278: 58-78. DOI: 10.1016/J.Physd.2014.04.003 |
0.444 |
|
| 2014 |
Ablowitz MJ, Butler STJ. Nonlinear temporal-spatial surface plasmon polaritons Optics Communications. 330: 49-55. DOI: 10.1016/J.Optcom.2014.05.025 |
0.479 |
|
| 2013 |
Ablowitz MJ, Baldwin DE. Dispersive shock wave interactions and asymptotics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 87: 022906. PMID 23496590 DOI: 10.1103/Physreve.87.022906 |
0.754 |
|
| 2013 |
Ablowitz MJ, Musslimani ZH. Integrable nonlocal nonlinear Schrödinger equation. Physical Review Letters. 110: 064105. PMID 23432249 DOI: 10.1103/Physrevlett.110.064105 |
0.56 |
|
| 2013 |
Ablowitz MJ, Zhu Y. Nonlinear wave packets in deformed honeycomb lattices Siam Journal On Applied Mathematics. 73: 1959-1979. DOI: 10.1137/120887618 |
0.554 |
|
| 2013 |
Ablowitz MJ, Zhu Y. Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices Studies in Applied Mathematics. 131: 41-71. DOI: 10.1111/J.1467-9590.2012.00575.X |
0.566 |
|
| 2013 |
Ablowitz MJ, Curtis CW, Zhu Y. Localized nonlinear edge states in honeycomb lattices Physical Review a - Atomic, Molecular, and Optical Physics. 88. DOI: 10.1103/Physreva.88.013850 |
0.378 |
|
| 2013 |
Ablowitz MJ, Curtis CW. Conservation laws and non-decaying solutions for the Benney-Luke equation Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 469. DOI: 10.1098/Rspa.2012.0690 |
0.549 |
|
| 2013 |
Ablowitz MJ, Nixon SD, Horikis TP, Frantzeskakis DJ. Dark solitons of the power-energy saturation model: Application to mode-locked lasers Journal of Physics a: Mathematical and Theoretical. 46. DOI: 10.1088/1751-8113/46/9/095201 |
0.627 |
|
| 2013 |
Ablowitz MJ, Baldwin DE. Interactions and asymptotics of dispersive shock waves - Korteweg-de Vries equation Physics Letters, Section a: General, Atomic and Solid State Physics. 377: 555-559. DOI: 10.1016/J.Physleta.2012.12.040 |
0.729 |
|
| 2012 |
Ablowitz MJ, Baldwin DE. Nonlinear shallow ocean-wave soliton interactions on flat beaches. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 86: 036305. PMID 23031011 DOI: 10.1103/Physreve.86.036305 |
0.692 |
|
| 2012 |
Ablowitz MJ, Zhu Y. Nonlinear waves in shallow honeycomb lattices Siam Journal On Applied Mathematics. 72: 240-260. DOI: 10.1137/11082662X |
0.534 |
|
| 2012 |
Ablowitz MJ, Curtis CW, Zhu Y. On Tight-Binding Approximations in Optical Lattices Studies in Applied Mathematics. 129: 362-388. DOI: 10.1111/J.1467-9590.2012.00558.X |
0.377 |
|
| 2012 |
Ablowitz MJ, Antar N, BakIrtaş A, Ilan B. Vortex and dipole solitons in complex two-dimensional nonlinear lattices Physical Review a - Atomic, Molecular, and Optical Physics. 86. DOI: 10.1103/Physreva.86.033804 |
0.375 |
|
| 2012 |
Ablowitz MJ, Barone V, De Lillo S, Sommacal M. Traveling waves in elastic rods with arbitrary curvature and torsion Journal of Nonlinear Science. 22: 1013-1040. DOI: 10.1007/S00332-012-9136-3 |
0.402 |
|
| 2011 |
Ablowitz MJ, Zhu Y. Nonlinear diffraction in photonic graphene. Optics Letters. 36: 3762-4. PMID 21964089 DOI: 10.1364/Ol.36.003762 |
0.423 |
|
| 2011 |
Ablowitz MJ, Horikis TP, Nixon SD, Frantzeskakis DJ. Dark solitons in mode-locked lasers. Optics Letters. 36: 793-5. PMID 21403685 DOI: 10.1364/Ol.36.000793 |
0.617 |
|
| 2011 |
Ablowitz MJ, Haut TS, Horikis TP, Nixon SD, Zhu Y. Nonlinear wave dynamics: from lasers to fluids Discrete and Continuous Dynamical Systems - Series S. 4: 923-955. DOI: 10.3934/Dcdss.2011.4.923 |
0.73 |
|
| 2011 |
Ablowitz MJ, Nixon SD, Horikis TP, Frantzeskakis DJ. Perturbations of dark solitons Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 467: 2597-2621. DOI: 10.1098/Rspa.2010.0663 |
0.729 |
|
| 2011 |
Ablowitz MJ, Curtis CW. On the evolution of perturbations to solutions of the Kadomtsev- Petviashvilli equation using the Benney-Luke equation Journal of Physics a: Mathematical and Theoretical. 44. DOI: 10.1088/1751-8113/44/19/195202 |
0.557 |
|
| 2011 |
Ablowitz MJ. Nonlinear dispersive waves: Asymptotic analysis and solitons Nonlinear Dispersive Waves. 1-348. DOI: 10.1017/CBO9780511998324 |
0.418 |
|
| 2010 |
Chakravarty S, Ablowitz MJ. Parameterizations of the Chazy equation Studies in Applied Mathematics. 124: 105-135. DOI: 10.1111/J.1467-9590.2009.00463.X |
0.374 |
|
| 2010 |
Ablowitz MJ, Zhu Y. Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices Physical Review a - Atomic, Molecular, and Optical Physics. 82. DOI: 10.1103/Physreva.82.013840 |
0.531 |
|
| 2010 |
Ablowitz MJ, Antar N, BakIrtaş I, Ilan B. Band-gap boundaries and fundamental solitons in complex two-dimensional nonlinear lattices Physical Review a - Atomic, Molecular, and Optical Physics. 81. DOI: 10.1103/Physreva.81.033834 |
0.442 |
|
| 2010 |
Ablowitz MJ, Haut TS. Asymptotic expansions for solitary gravity-capillary waves in two and three dimensions Journal of Physics a: Mathematical and Theoretical. 43. DOI: 10.1098/Rspa.2009.0112 |
0.386 |
|
| 2010 |
Ablowitz MJ, Horikis TP. Nonlinear waves in optical media Journal of Computational and Applied Mathematics. 234: 1896-1903. DOI: 10.1016/J.Cam.2009.08.039 |
0.517 |
|
| 2009 |
Ablowitz MJ, Baldwin DE, Hoefer MA. Soliton generation and multiple phases in dispersive shock and rarefaction wave interaction. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 80: 016603. PMID 19658828 DOI: 10.1103/Physreve.80.016603 |
0.781 |
|
| 2009 |
Hoefer M, Ablowitz M. Dispersive shock waves Scholarpedia. 4: 5562. DOI: 10.4249/Scholarpedia.5562 |
0.653 |
|
| 2009 |
Ablowitz MJ, Horikis TP. Solitons and spectral renormalization methods in nonlinear optics European Physical Journal: Special Topics. 173: 147-166. DOI: 10.1140/Epjst/E2009-01072-0 |
0.543 |
|
| 2009 |
Ablowitz MJ, Horikis TP, Nixon SD, Zhu Y. Asymptotic analysis of pulse dynamics in mode-locked lasers Studies in Applied Mathematics. 122: 411-425. DOI: 10.1111/J.1467-9590.2009.00441.X |
0.725 |
|
| 2009 |
Ablowitz MJ, Horikis TP. Solitons in normally dispersive mode-locked lasers Physical Review a - Atomic, Molecular, and Optical Physics. 79. DOI: 10.1103/Physreva.79.063845 |
0.486 |
|
| 2009 |
Ablowitz MJ, Nixon SD, Zhu Y. Conical diffraction in honeycomb lattices Physical Review A. 79. DOI: 10.1103/Physreva.79.053830 |
0.718 |
|
| 2009 |
Ablowitz MJ. Nonlocal reformulations of water and internal waves and asymptotic reductions Aip Conference Proceedings. 1168: 1219-1221. DOI: 10.1063/1.3241288 |
0.456 |
|
| 2009 |
Haut TS, Ablowitz MJ. A reformulation and applications of interfacial fluids with a free surface Journal of Fluid Mechanics. 631: 375-396. DOI: 10.1017/S0022112009006818 |
0.493 |
|
| 2009 |
Ablowitz MJ, Horikis TP, Nixon SD. Soliton strings and interactions in mode-locked lasers Optics Communications. 282: 4127-4135. DOI: 10.1016/J.Optcom.2009.07.005 |
0.711 |
|
| 2009 |
Ablowitz MJ, Haut TS. Coupled nonlinear Schrödinger equations for interfacial fluids with a free surface Theoretical and Mathematical Physics. 159: 689-697. DOI: 10.1007/S11232-009-0057-8 |
0.435 |
|
| 2008 |
Hoefer MA, Ablowitz MJ, Engels P. Piston dispersive shock wave problem. Physical Review Letters. 100: 084504. PMID 18352629 DOI: 10.1103/Physrevlett.100.084504 |
0.707 |
|
| 2008 |
Ablowitz M, Prinari B. Nonlinear Schrodinger systems: continuous and discrete Scholarpedia. 3: 5561. DOI: 10.4249/Scholarpedia.5561 |
0.398 |
|
| 2008 |
Ablowitz MJ, Haut TS. Spectral Formulation Of The Two Fluid Euler Equations With A Free Interface And Long Wave Reductions Analysis and Applications. 6: 323-348. DOI: 10.1142/S0219530508001213 |
0.527 |
|
| 2008 |
Ablowitz MJ, Ablowitz SA, Antar N. Damping of periodic waves in physically significant wave systems Studies in Applied Mathematics. 121: 313-335. DOI: 10.1111/J.1467-9590.2008.00419.X |
0.467 |
|
| 2008 |
Ablowitz MJ, Horikis TP, Ilan B. Solitons in dispersion-managed mode-locked lasers Physical Review a - Atomic, Molecular, and Optical Physics. 77. DOI: 10.1103/Physreva.77.033814 |
0.381 |
|
| 2007 |
Ablowitz M, Bakirtas I, Ilan B. On a class of nonlocal nonlinear Schrödinger equations and wave collapse European Physical Journal: Special Topics. 147: 343-362. DOI: 10.1140/Epjst/E2007-00217-5 |
0.505 |
|
| 2007 |
Ablowitz MJ, Biondini G, Prinari B. Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions Inverse Problems. 23: 1711-1758. DOI: 10.1088/0266-5611/23/4/021 |
0.483 |
|
| 2007 |
Hoefer MA, Ablowitz MJ. Interactions of dispersive shock waves Physica D: Nonlinear Phenomena. 236: 44-64. DOI: 10.1016/J.Physd.2007.07.017 |
0.715 |
|
| 2007 |
Ablowitz MJ, Ilan B, Schonbrun E, Piestun R. Two-dimensional solitons in irregular lattice systems Theoretical and Mathematical Physics. 151: 723-734. DOI: 10.1007/S11232-007-0058-4 |
0.496 |
|
| 2007 |
Ilan B, Ablowitz MJ, Schonbrun E, Piestun R. Multidimensional solitons in irregular-lattice media Optics Infobase Conference Papers. |
0.343 |
|
| 2006 |
Ablowitz MJ, Ilan B, Schonbrun E, Piestun R. Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 74: 035601. PMID 17025698 DOI: 10.1103/Physreve.74.035601 |
0.462 |
|
| 2006 |
Ahrens CD, Ablowitz MJ, Docherty A, Sinkin OV, Grigoryan V, Menyuk CR. Asymptotic analysis of collision-induced timing shifts in return-to-zero quasi-linear systems with predispersion and postdispersion compensation. Optics Letters. 31: 5-7. PMID 16419859 DOI: 10.1364/Ol.31.000005 |
0.763 |
|
| 2006 |
Ablowitz MJ, Prinari B, Trubatch AD. Discrete vector solitons: Composite solitons, Yang-Baxter maps and computation Studies in Applied Mathematics. 116: 97-133. DOI: 10.1111/J.1467-9590.2005.00320.X |
0.808 |
|
| 2006 |
Hoefer MA, Ablowitz MJ, Coddington I, Cornell EA, Engels P, Schweikhard V. Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics Physical Review a - Atomic, Molecular, and Optical Physics. 74. DOI: 10.1103/Physreva.74.023623 |
0.7 |
|
| 2006 |
Ablowitz MJ, Chakravarty S, Hahn H. Integrable systems and modular forms of level 2 Journal of Physics a: Mathematical and General. 39: 15341-15353. DOI: 10.1088/0305-4470/39/50/003 |
0.54 |
|
| 2006 |
Prinari B, Ablowitz MJ, Biondini G. Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions Journal of Mathematical Physics. 47. DOI: 10.1063/1.2209169 |
0.435 |
|
| 2006 |
Ablowitz MJ, Fokas AS, Musslimani ZH. On a new non-local formulation of water waves Journal of Fluid Mechanics. 562: 313-343. DOI: 10.1017/S0022112006001091 |
0.486 |
|
| 2005 |
Hoefer MA, Ablowitz MJ, Ilan B, Pufall MR, Silva TJ. Theory of magnetodynamics induced by spin torque in perpendicularly magnetized thin films. Physical Review Letters. 95: 267206. PMID 16486396 DOI: 10.1103/Physrevlett.95.267206 |
0.677 |
|
| 2005 |
Ablowitz MJ, Musslimani ZH. Spectral renormalization method for computing self-localized solutions to nonlinear systems. Optics Letters. 30: 2140-2. PMID 16127936 DOI: 10.1364/Ol.30.002140 |
0.519 |
|
| 2005 |
Ablowitz MJ, Julien K, Musslimani ZH, Weinstein MI. Wave dynamics in optically modulated waveguide arrays. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 71: 055602. PMID 16089594 DOI: 10.1103/Physreve.71.055602 |
0.515 |
|
| 2005 |
Ablowitz MJ, Ahrens CD, Lillo SD. On a “Quasi” Integrable Discrete Eckhaus Equation Journal of Nonlinear Mathematical Physics. 12: 1-12. DOI: 10.2991/Jnmp.2005.12.S1.1 |
0.826 |
|
| 2005 |
Quraishi Q, undiff ST, Ilan B, Ablowitz MJ. Theoretical and experimental dynamics of nonlinear and dispersion managed solitons in an ultrashort pulsed laser Optics Infobase Conference Papers. DOI: 10.1364/Fio.2005.Jtuf5 |
0.311 |
|
| 2005 |
Quraishi Q, Cundiff ST, Ilan B, Ablowitz MJ. Dynamics of nonlinear and dispersion managed solitons Physical Review Letters. 94. DOI: 10.1103/Physrevlett.94.243904 |
0.412 |
|
| 2005 |
Ablowitz M, Bakirtaş I, Ilan B. Wave collapse in a class of nonlocal nonlinear Schrödinger equations Physica D: Nonlinear Phenomena. 207: 230-253. DOI: 10.1016/J.Physd.2005.06.001 |
0.464 |
|
| 2005 |
Ablowitz MJ, Ahrens C, Biondini G, Chakravarty S, Docherty A. Periodic-group-delay dispersion compensation reduces collision-induced timing shifts in dispersion-managed quasilinear systems Theoretical and Mathematical Physics. 144: 881-887. DOI: 10.1007/S11232-005-0114-X |
0.75 |
|
| 2005 |
Villarroel J, Ablowitz MJ, Prinari B. Solvability of the direct and inverse problems for the nonlinear schrödinger equation Acta Applicandae Mathematicae. 87: 245-280. DOI: 10.1007/S10440-005-1160-Y |
0.475 |
|
| 2005 |
Ablowitz MJ, Ahrens CD, De Lillo S. On a "quasi" integrable discrete Eckhaus equation Journal of Nonlinear Mathematical Physics. 12: 1-12. |
0.796 |
|
| 2004 |
Ablowitz MJ, Ahrens C, Biondini G, Chakravarty S, Docherty A. Reduction of collision-induced timing shifts in dispersion-managed quasi-linear systems with periodic-group-delay dispersion compensation. Optics Letters. 29: 2354-6. PMID 15532265 DOI: 10.1364/Ol.29.002354 |
0.758 |
|
| 2004 |
Ablowitz MJ, Ilan B, Cundiff ST. Carrier-envelope phase slip of ultrashort dispersion-managed solitons. Optics Letters. 29: 1808-10. PMID 15352377 DOI: 10.1364/Ol.29.001808 |
0.426 |
|
| 2004 |
Ablowitz MJ, Moeser JT. Dispersion management for randomly varying optical fibers. Optics Letters. 29: 821-3. PMID 15119389 DOI: 10.1364/Ol.29.000821 |
0.337 |
|
| 2004 |
Ablowitz MJ, Prinari B, Trubatch AD. Integrable nonlinear Schrödinger systems and their soliton dynamics Dynamics of Partial Differential Equations. 1: 239-299. DOI: 10.4310/Dpde.2004.V1.N3.A1 |
0.492 |
|
| 2004 |
Villarroel J, Ablowitz MJ. On the initial value problem for the KPII equation with data that do not decay along a line Nonlinearity. 17: 1843-1866. DOI: 10.1088/0951-7715/17/5/015 |
0.49 |
|
| 2004 |
Ablowitz MJ, Prinari B, Trubatch AD. Soliton interactions in the vector NLS equation Inverse Problems. 20: 1217-1237. DOI: 10.1088/0266-5611/20/4/012 |
0.811 |
|
| 2003 |
Ablowitz MJ, Docherty A, Hirooka T. Incomplete collisions in strongly dispersion-managed return-to-zero communication systems. Optics Letters. 28: 1191-3. PMID 12885017 DOI: 10.1364/Ol.28.001191 |
0.337 |
|
| 2003 |
Ablowitz MJ, Musslimani ZH. Dark and gray strong dispersion-managed solitons. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 67: 025601. PMID 12636737 DOI: 10.1103/Physreve.67.025601 |
0.335 |
|
| 2003 |
Ablowitz MJ, Biondini G, Chakravarty S, Horne RL. Four-wave mixing in dispersion-managed return-to-zero systems Journal of the Optical Society of America B: Optical Physics. 20: 831-845. DOI: 10.1364/Josab.20.000831 |
0.757 |
|
| 2003 |
Villarroel J, Ablowitz MJ. On the discrete spectrum of systems in the plane and the Davey-Stewartson II equation Siam Journal On Mathematical Analysis. 34: 1253-1278. DOI: 10.1137/S0036141001391627 |
0.462 |
|
| 2003 |
Ablowitz MJ, De Lillo S. On a two-phase free boundary problem Journal of Physics a: Mathematical and General. 36: 4307-4319. DOI: 10.1088/0305-4470/36/15/307 |
0.441 |
|
| 2003 |
Ablowitz MJ, Chakravarty S, Halburd RG. Integrable systems and reductions of the self-dual Yang-Mills equations Journal of Mathematical Physics. 44: 3147-3173. DOI: 10.1063/1.1586967 |
0.499 |
|
| 2003 |
Ablowitz MJ, Musslimani ZH. Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: A unified approach Physica D: Nonlinear Phenomena. 184: 276-303. DOI: 10.1016/S0167-2789(03)00226-4 |
0.483 |
|
| 2002 |
Ablowitz MJ, Biondini G, Biswas A, Docherty A, Hirooka T, Chakravarty S. Collision-induced timing shifts in dispersion-managed soliton systems. Optics Letters. 27: 318-20. PMID 18007789 DOI: 10.1364/Ol.27.000318 |
0.375 |
|
| 2002 |
Ablowitz MJ, Hirooka T. Intrachannel pulse interactions in dispersion-managed transmission systems: energy transfer. Optics Letters. 27: 203-5. PMID 18007756 DOI: 10.1364/Ol.27.000203 |
0.335 |
|
| 2002 |
Ablowitz MJ, Musslimani ZH. Discrete vector spatial solitons in a nonlinear waveguide array. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 65: 056618. PMID 12059742 DOI: 10.1103/Physreve.65.056618 |
0.436 |
|
| 2002 |
Ablowitz MJ, Musslimani ZH, Biondini G. Methods for discrete solitons in nonlinear lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 65: 026602. PMID 11863673 DOI: 10.1103/Physreve.65.026602 |
0.456 |
|
| 2002 |
Ablowitz MJ, Hirooka T, Inoue T. Higher-order asymptotic analysis of dispersion-managed transmission systems: Solutions and their characteristics Journal of the Optical Society of America B: Optical Physics. 19: 2876-2885. DOI: 10.1364/Josab.19.002876 |
0.519 |
|
| 2002 |
Ablowitz MJ, Hirooka T. Managing nonlinearity in strongly dispersion-managed optical pulse transmission Journal of the Optical Society of America B: Optical Physics. 19: 425-439. DOI: 10.1364/Josab.19.000425 |
0.447 |
|
| 2002 |
Villarroel J, Ablowitz MJ. The Cauchy problem for the Kadomtsev-Petviashili II equation with nondecaying data along a line Studies in Applied Mathematics. 109: 151-162. DOI: 10.1111/1467-9590.00220 |
0.469 |
|
| 2002 |
Ablowitz MJ, Hirooka T. Resonant intrachannel pulse interactions in dispersion-managed transmission systems Ieee Journal On Selected Topics in Quantum Electronics. 8: 603-615. DOI: 10.1109/Jstqe.2002.1016364 |
0.402 |
|
| 2002 |
Hirooka T, Ablowitz MJ. Analysis of timing and amplitude jitter due to intrachannel dispersion-managed pulse interactions Ieee Photonics Technology Letters. 14: 633-635. DOI: 10.1109/68.998708 |
0.358 |
|
| 2002 |
Hirooka T, Ablowitz MJ. Suppression of intrachannel dispersion-managed pulse interactions by distributed amplification Ieee Photonics Technology Letters. 14: 316-318. DOI: 10.1109/68.986798 |
0.326 |
|
| 2001 |
Ablowitz MJ, Hirooka T, Biondini G. Quasi-linear optical pulses in strongly dispersion-managed transmission systems. Optics Letters. 26: 459-61. PMID 18040353 DOI: 10.1364/Ol.26.000459 |
0.433 |
|
| 2001 |
Ablowitz MJ, Biondini G, Blair S. Nonlinear Schrödinger equations with mean terms in nonresonant multidimensional quadratic materials. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 63: 046605. PMID 11308966 DOI: 10.1103/Physreve.63.046605 |
0.532 |
|
| 2001 |
Ablowitz MJ, Hirooka T. Intrachannel pulse interactions in dispersion-managed transmission systems: Timing shifts Optics Letters. 26: 1846-1848. DOI: 10.1364/Ol.26.001846 |
0.385 |
|
| 2001 |
Ablowitz MJ, Biondini G, Olson ES. Incomplete collisions of wavelength-division multiplexed dispersion-managed solitons Journal of the Optical Society of America B: Optical Physics. 18: 577-583. DOI: 10.1364/Josab.18.000577 |
0.499 |
|
| 2001 |
Ablowitz MJ. Nonlinear feedback shift registers via nonlinear evolution Studies in Applied Mathematics. 107: 127-136. DOI: 10.1111/1467-9590.00181 |
0.506 |
|
| 2001 |
Ablowitz MJ, Hirooka T. Nonlinear effects in quasi-linear dispersion-managed pulse transmission Ieee Photonics Technology Letters. 13: 1082-1084. DOI: 10.1109/68.950742 |
0.394 |
|
| 2001 |
Ablowitz MJ, Musslimani ZH. Discrete diffraction managed spatial solitons Physical Review Letters. 87: 254102/1-254102/4. DOI: 10.1103/Physrevlett.87.254102 |
0.5 |
|
| 2001 |
Ablowitz MJ, Herbst BM, Schober CM. Discretizations, integrable systems and computation Journal of Physics a: Mathematical and General. 34: 10671-10693. DOI: 10.1088/0305-4470/34/48/330 |
0.525 |
|
| 2001 |
Ablowitz MJ, Biondini G, Blair S. Localized multi-dimensional optical pulses in non-resonant quadratic materials Mathematics and Computers in Simulation. 56: 511-519. DOI: 10.1016/S0378-4754(01)00328-7 |
0.369 |
|
| 2001 |
Ablowitz MJ, Hammack J, Henderson D, Schober CM. Long-time dynamics of the modulational instability of deep water waves Physica D: Nonlinear Phenomena. 152: 416-433. DOI: 10.1016/S0167-2789(01)00183-X |
0.486 |
|
| 2000 |
Ablowitz MJ, Biondini G, Ostrovsky LA. Optical solitons: Perspectives and applications. Chaos (Woodbury, N.Y.). 10: 471-474. PMID 12779399 DOI: 10.1063/1.1310721 |
0.308 |
|
| 2000 |
Ablowitz MJ, Hirooka T. Resonant nonlinear intrachannel interactions in strongly dispersion-managed transmission systems Optics Letters. 25: 1750-1752. DOI: 10.1364/Ol.25.001750 |
0.375 |
|
| 2000 |
Ablowitz MJ, Halburd R, Herbst B. On the extension of the Painlevé property to difference equations Nonlinearity. 13: 889-905. DOI: 10.1088/0951-7715/13/3/321 |
0.521 |
|
| 2000 |
Ablowitz MJ, De Lillo S. On a Burgers-Stefan problem Nonlinearity. 13: 471-478. DOI: 10.1088/0951-7715/13/2/308 |
0.486 |
|
| 2000 |
Ablowitz MJ, Ohta Y, Trubatch AD. On integrability and chaos in discrete systems Chaos, Solitons and Fractals. 11: 159-169. DOI: 10.1016/S0960-0779(98)00280-X |
0.824 |
|
| 2000 |
Ablowitz MJ, De Lillo S. Solutions of a Burgers-Stefan problem Physics Letters, Section a: General, Atomic and Solid State Physics. 271: 273-276. DOI: 10.1016/S0375-9601(00)00358-3 |
0.421 |
|
| 2000 |
Ablowitz MJ, Chakravarty S, Trubatch AD, Villarroel J. A novel class of solutions of the non-stationary Schrodinger and the Kadomtsev-Petviashvili I equations Physics Letters, Section a: General, Atomic and Solid State Physics. 267: 132-146. DOI: 10.1016/S0375-9601(00)00020-7 |
0.814 |
|
| 2000 |
Ablowitz MJ, Hammack J, Henderson D, Schober CM. Modulated Periodic Stokes Waves in Deep Water Physical Review Letters. 84: 887-890. |
0.372 |
|
| 1999 |
Ablowitz MJ, Chakravarty S, Halburd R. The generalized Chazy equation from the self-duality equations Studies in Applied Mathematics. 103: 75-88. DOI: 10.1111/1467-9590.00121 |
0.487 |
|
| 1999 |
Ablowitz MJ, Clarkson PA. Solitons and symmetries Journal of Engineering Mathematics. 36: 1-9. DOI: 10.1023/A:1004581620608 |
0.412 |
|
| 1999 |
Ablowitz MJ, Ohta Y, Trubatch AD. On discretizations of the vector nonlinear Schrödinger equation Physics Letters, Section a: General, Atomic and Solid State Physics. 253: 287-304. DOI: 10.1016/S0375-9601(99)00048-1 |
0.836 |
|
| 1999 |
Ablowitz MJ, Biondini G, Chakravarty S, Horne R. Comparison between lumped and distributed filter models in wavelength-division multiplexed soliton systems Optics Communications. 172: 211-227. DOI: 10.1016/S0030-4018(99)00605-7 |
0.705 |
|
| 1999 |
Villarroel J, Ablowitz MJ. On the discrete spectrum of the nonstationary Schrödinger equation and multipole lumps of the Kadomtsev-Petviashvili I equation Communications in Mathematical Physics. 207: 1-42. DOI: 10.1007/S002200050716 |
0.513 |
|
| 1998 |
Ablowitz MJ, Biondini G. Multiscale pulse dynamics in communication systems with strong dispersion management. Optics Letters. 23: 1668-70. PMID 18091878 DOI: 10.1364/Ol.23.001668 |
0.507 |
|
| 1998 |
Ablowitz MJ, Chakravarty S, Halburd R. The generalized Chazy equation and Schwarzian triangle functions Asian Journal of Mathematics. 2: 619-624. DOI: 10.4310/Ajm.1998.V2.N4.A1 |
0.46 |
|
| 1998 |
Ablowitz MJ, Biondini G, Chakravarty S, Horne RL. On timing Jitter in wavelength-division multiplexed soliton systems Optics Communications. 150: 305-318. DOI: 10.1016/S0030-4018(98)00045-5 |
0.717 |
|
| 1997 |
Ablowitz MJ, Biondini G, Chakravarty S, Jenkins RB, Sauer JR. Four-wave mixing in wavelength-division-multiplexed soliton systems: Ideal fibers Journal of the Optical Society of America B: Optical Physics. 14: 1788-1794. DOI: 10.1364/Josab.14.001788 |
0.477 |
|
| 1997 |
Ablowitz MJ, Wang XP. Initial time layers and Kadomtsev-Petviashvili-type equations Studies in Applied Mathematics. 98: 121-137. DOI: 10.1111/1467-9590.00043 |
0.533 |
|
| 1997 |
Ablowitz MJ, Villarroel J. Solutions to the time dependent Schrödinger and the Kadomtsev-Petviashvili equations Physical Review Letters. 78: 570-573. DOI: 10.1103/Physrevlett.78.570 |
0.505 |
|
| 1997 |
Mock SE, Ablowitz MJ, Patton CE. Multiple-scale derivation of the nonlinear Schrödinger equation for solitons in magnetic thin films (abstract) Journal of Applied Physics. 81: 5080-5080. DOI: 10.1063/1.364513 |
0.318 |
|
| 1997 |
Ablowitz MJ, Herbst BM, Schober CM. The nonlinear Schrödinger equation: Asymmetric perturbations, traveling waves and chaotic structures Mathematics and Computers in Simulation. 43: 3-12. DOI: 10.1016/S0378-4754(96)00051-1 |
0.494 |
|
| 1997 |
Ablowitz MJ, Biondini G, Blair S. Multi-dimensional pulse propagation in non-resonant x (2) materials Physics Letters, Section a: General, Atomic and Solid State Physics. 236: 520-524. DOI: 10.1016/S0375-9601(97)00845-1 |
0.525 |
|
| 1997 |
Ablowitz MJ, Biondini G, De Lillo S. On the well-posedness of the Eckhaus equation Physics Letters, Section a: General, Atomic and Solid State Physics. 230: 319-323. DOI: 10.1016/S0375-9601(97)00240-5 |
0.538 |
|
| 1997 |
Ablowitz MJ, Herbst BM, Schober CM. On the numerical solution of the Sine-Gordon equation Journal of Computational Physics. 131: 354-367. DOI: 10.1006/Jcph.1996.0139 |
0.487 |
|
| 1996 |
Ablowitz MJ, Biondini G, Chakravarty S, Jenkins RB, Sauer JR. Four-wave mixing in wavelength-division-multiplexed soliton systems: damping and amplification. Optics Letters. 21: 1646-8. PMID 19881754 DOI: 10.1364/Ol.21.001646 |
0.374 |
|
| 1996 |
Chakravarty S, Ablowitz MJ. Integrability, monodromy evolving deformations, and self-dual Bianchi IX systems Physical Review Letters. 76: 857-860. DOI: 10.1103/Physrevlett.76.857 |
0.512 |
|
| 1996 |
Villarroel J, Chakravarty S, Ablowitz MJ. On a 2 + 1 Volterra system Nonlinearity. 9: 1113-1128. DOI: 10.1088/0951-7715/9/5/004 |
0.424 |
|
| 1996 |
Ablowitz MJ, Herbst BM, Schober CM. Computational chaos in the nonlinear Schrödinger equation without homoclinic crossings Physica a: Statistical Mechanics and Its Applications. 228: 212-235. DOI: 10.1016/0378-4371(95)00434-3 |
0.542 |
|
| 1996 |
Ablowitz MJ, De Lillo S. The Burgers equation under deterministic and stochastic forcing Physica D: Nonlinear Phenomena. 92: 245-259. DOI: 10.1016/0167-2789(95)00274-X |
0.321 |
|
| 1996 |
Ablowitz MJ, Herbst BM, Schober C. On the numerical solution of the Sine-Gordon equation: I. Integrable discretizations and homoclinic manifolds Journal of Computational Physics. 126: 299-314. DOI: 10.1006/jcph.1996.0139 |
0.43 |
|
| 1995 |
Jenkins RB, Sauer JR, Chakravarty S, Ablowitz MJ. Data-dependent timing jitter in wavelength-division-multiplexing soliton systems Optics Letters. 20: 1964-1966. DOI: 10.1364/Ol.20.001964 |
0.357 |
|
| 1995 |
Chakravarty S, Ablowitz MJ, Sauer JR, Jenkins RB. Multisoliton interactions and wavelength-division multiplexing Optics Letters. 20: 136-138. DOI: 10.1364/Ol.20.000136 |
0.352 |
|
| 1995 |
ABLOWITZ MJ, SCHOBER C. Numerical Stochasticity, Hamiltonian Integrators, and the Nonlinear Schrödinger Equationa Annals of the New York Academy of Sciences. 751: 162-181. DOI: 10.1111/J.1749-6632.1995.Tb27521.X |
0.437 |
|
| 1995 |
Ablowitz MJ, Herbst BM, Schober CM. Numerical simulation of quasi-periodic solutions of the sine-Gordon equation Physica D: Nonlinear Phenomena. 87: 37-47. DOI: 10.1016/0167-2789(95)00122-K |
0.484 |
|
| 1995 |
Ablowitz MJ, Chakravarty S, Herbst BM. Integrability, computation and applications Acta Applicandae Mathematicae. 39: 5-37. DOI: 10.1007/Bf00994624 |
0.43 |
|
| 1994 |
Ablowitz MJ, Schober CM. Hamiltonian Integrators For The Nonlinear Schroedinger Equation International Journal of Modern Physics C. 5: 397-401. DOI: 10.1142/S012918319400057X |
0.461 |
|
| 1994 |
Ablowitz MJ, De Lillo S. Parametric forcing, bound states and solutions of a nonlinear Schrodinger type equation Nonlinearity. 7: 1143-1153. DOI: 10.1088/0951-7715/7/4/003 |
0.529 |
|
| 1994 |
Villarroel J, Ablowitz MJ. Solutions to the 2+1 Toda equation Journal of Physics a: Mathematical and General. 27: 931-941. DOI: 10.1088/0305-4470/27/3/032 |
0.45 |
|
| 1994 |
Herbst BM, Varadi F, Ablowitz MJ. Symplectic methods for the nonlinear Schrödinger equation Mathematics and Computers in Simulation. 37: 353-369. DOI: 10.1016/0378-4754(94)00024-7 |
0.529 |
|
| 1994 |
Ablowitz MJ, Schober CM. Homoclinic manifolds and numerical chaos in the nonlinear Schrödinger equation Mathematics and Computers in Simulation. 37: 249-264. DOI: 10.1016/0378-4754(94)00018-2 |
0.543 |
|
| 1994 |
Wang XP, Ablowitz MJ, Segur H. Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation Physica D: Nonlinear Phenomena. 78: 241-265. DOI: 10.1016/0167-2789(94)90118-X |
0.421 |
|
| 1993 |
Benner AF, Sauer JR, Ablowitz MJ. Interaction effects on wavelength-multiplexed soliton data packets Journal of the Optical Society of America B-Optical Physics. 10: 2331-2340. DOI: 10.1364/Josab.10.002331 |
0.345 |
|
| 1993 |
Ablowitz MJ, Schober C, Herbst BM. Numerical chaos, roundoff errors, and homoclinic manifolds Physical Review Letters. 71: 2683-2686. DOI: 10.1103/Physrevlett.71.2683 |
0.491 |
|
| 1993 |
Villarroel J, Ablowitz MJ. On the method of solution of the differential-delay Toda equation Physics Letters A. 180: 413-418. DOI: 10.1016/0375-9601(93)90292-8 |
0.478 |
|
| 1993 |
Villarroel J, Ablowitz MJ. On the inverse scattering transform of the 2 + 1 Toda equation Physica D: Nonlinear Phenomena. 65: 48-70. DOI: 10.1016/0167-2789(93)90004-K |
0.507 |
|
| 1993 |
Ablowitz MJ, Chakravarty S, Takhtajan LA. A self-dual Yang-Mills hierarchy and its reductions to integrable systems in 1+1 and 2+1 dimensions Communications in Mathematical Physics. 158: 289-314. DOI: 10.1007/Bf02108076 |
0.466 |
|
| 1993 |
Herbst B, Ablowitz MJ. Numerical Chaos, Symplectic Integrators, and Exponentially Small Splitting Distances Journal of Computational Physics. 105: 122-132. DOI: 10.1006/Jcph.1993.1058 |
0.521 |
|
| 1992 |
Wadati M, Segur H, Ablowitz MJ. A new hamiltonian amplitude equation governing modulated wave instabilities Journal of the Physical Society of Japan. 61: 1187-1193. DOI: 10.1143/Jpsj.61.1187 |
0.554 |
|
| 1992 |
Herbst BM, Ablowitz MJ. Numerical homoclinic instabilities in the sine-gordon equation Quaestiones Mathematicae. 15: 345-363. DOI: 10.1080/16073606.1992.9631696 |
0.4 |
|
| 1992 |
Villarroel J, Ablowitz MJ. On the method of solution to the 2+1 Toda equation Physics Letters A. 163: 293-298. DOI: 10.1016/0375-9601(92)91015-J |
0.482 |
|
| 1991 |
Ablowitz MJ, Herbst BM, Weideman JAC. Dynamics of semi-discretizations of the defocusing nonlinear schrödinger equation Ima Journal of Numerical Analysis. 11: 539-552. DOI: 10.1093/Imanum/11.4.539 |
0.547 |
|
| 1991 |
Villarroel J, Ablowitz MJ. On the Hamiltonian formalism for the Davey-Stewartson system Inverse Problems. 7: 451-460. DOI: 10.1088/0266-5611/7/3/010 |
0.422 |
|
| 1991 |
Ablowitz MJ, De Lillo S. Forced and semiline solutions of the Burgers equation Physics Letters A. 156: 483-487. DOI: 10.1016/0375-9601(91)90184-A |
0.468 |
|
| 1991 |
Herbst BM, Ablowitz MJ, Ryan E. Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation Computer Physics Communications. 65: 137-142. DOI: 10.1016/0010-4655(91)90165-H |
0.527 |
|
| 1991 |
Ablowitz MJ, Villarroel J. On the Kadomtsev-Petviashvili Equation and Associated Constraints Studies in Applied Mathematics. 85: 195-213. DOI: 10.1002/Sapm1991853195 |
0.476 |
|
| 1990 |
Ablowitz MJ, Herbst BM. On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation Siam Journal On Applied Mathematics. 50: 339-351. DOI: 10.1137/0150021 |
0.537 |
|
| 1990 |
Chakravarty S, Ablowitz MJ, Clarkson PA. Reductions of self-dual yang-mills fields and classical systems Physical Review Letters. 65: 1085-1087. DOI: 10.1103/Physrevlett.65.1085 |
0.452 |
|
| 1990 |
Ablowitz MJ, Manakov SV, Schultz CL. On the boundary conditions of the Davey-Stewartson equation Physics Letters A. 148: 50-52. DOI: 10.1016/0375-9601(90)90574-8 |
0.433 |
|
| 1989 |
Clarkson PA, Fokas AS, Ablowitz MJ. Hodograph transformations of linearizable partial differential equations Siam Journal On Applied Mathematics. 49: 1188-1209. DOI: 10.1137/0149071 |
0.471 |
|
| 1989 |
Herbst BM, Ablowitz MJ. Numerically induced chaos in the nonlinear Schrödinger equation Physical Review Letters. 62: 2065-2068. DOI: 10.1103/Physrevlett.62.2065 |
0.552 |
|
| 1989 |
Schultz CL, Ablowitz MJ. Action-angle variables and trace formula for D-bar limit case of Davey-Stewartson I Physics Letters A. 135: 433-437. DOI: 10.1016/0375-9601(89)90043-1 |
0.452 |
|
| 1989 |
Herbst BM, Ablowitz MJ. On numerical chaos in the nonlinear Schrödinger equation Lecture Notes in Physics. 342: 192-206. DOI: 10.1007/Bfb0035671 |
0.543 |
|
| 1989 |
Fokas AS, Ablowitz MJ. Forced Nonlinear Evolution Equations and the Inverse Scattering Transform Studies in Applied Mathematics. 80: 253-272. DOI: 10.1002/Sapm1989803253 |
0.463 |
|
| 1989 |
Ablowitz MJ, Schultz CL. Strong Coupling Limit of Certain Multidimensional Nonlinear Wave Equations Studies in Applied Mathematics. 80: 229-238. DOI: 10.1002/Sapm1989803229 |
0.558 |
|
| 1988 |
Fokas AS, Mugan U, Ablowitz MJ. A method of linearization for Painlevé equations: Painlevé IV, V Physica D: Nonlinear Phenomena. 30: 247-283. DOI: 10.1016/0167-2789(88)90021-8 |
0.37 |
|
| 1988 |
Taha TR, Ablowitz MJ. Analytical and numerical aspects of certain nonlinear evolution equations IV. Numerical, modified Korteweg-de Vries equation Journal of Computational Physics. 77: 540-548. DOI: 10.1016/0021-9991(88)90184-2 |
0.374 |
|
| 1987 |
Schultz CL, Ablowitz MJ, Yaacov DB. Davey-stewartson I system: A quantum (2+1)-dimensional integrable system Physical Review Letters. 59: 2825-2828. DOI: 10.1103/Physrevlett.59.2825 |
0.495 |
|
| 1987 |
Santini PM, Ablowitz MJ, Fokas AS. On the initial value problem for a class of nonlinear integral evolution equations including the sine-Hilbert equation Journal of Mathematical Physics. 28: 2310-2316. DOI: 10.1063/1.527763 |
0.504 |
|
| 1987 |
Taha TR, Ablowitz MJ. Ist Numerical Schemes for Nonlinear Evolution Equations of Physical Interest North-Holland Mathematics Studies. 133: 425-433. DOI: 10.1016/S0304-0208(08)71752-3 |
0.515 |
|
| 1987 |
Ablowitz MJ, Fokas AS, Kruskal D. Note on solutions to a class of nonlinear singular integro-differential equations Physics Letters A. 120: 215-218. DOI: 10.1016/0375-9601(87)90210-6 |
0.53 |
|
| 1987 |
Santini P, Ablowitz MJ, Fokas AS. On the initial value problem for a class of nonlinear integral evolution equations generated through a Riemann-Hilbert spectral problem Physica D: Nonlinear Phenomena. 28: 231. DOI: 10.1016/0167-2789(87)90162-X |
0.457 |
|
| 1987 |
Ablowitz MJ, Costa DG, Tenenblat K. Solutions of Multidimensional Extensions of the Anti-Self-Dual Yang-Mills Equation Studies in Applied Mathematics. 77: 37-46. DOI: 10.1002/Sapm198777137 |
0.477 |
|
| 1987 |
Ablowitz MJ, Beals R, Tenenblat K. Addenda and Corrigenda to "On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations" [Studles In Applled Mathematics, (1987), 77:101] Studies in Applied Mathematics. 77: 101-101. DOI: 10.1002/Sapm1987771101 |
0.5 |
|
| 1986 |
Ablowitz MJ, Nachman AI. Multidimensional nonlinear evolution equations and inverse scattering Physica D: Nonlinear Phenomena. 18: 223-241. DOI: 10.1016/0167-2789(86)90183-1 |
0.517 |
|
| 1986 |
Ablowitz MJ, Beals R, Tenenblat K. On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations Studies in Applied Mathematics. 74: 177-203. DOI: 10.1002/Sapm1986743177 |
0.547 |
|
| 1985 |
Degasperis A, Santini PM, Ablowitz MJ. Nonlinear evolution equations associated with a Riemann-Hilbert scattering problem Journal of Mathematical Physics. 26: 2469-2472. DOI: 10.1063/1.526760 |
0.495 |
|
| 1984 |
Ablowitz MJ. Nonlinear Partial Differential Equations in Physical Problems (D. Graffi) Siam Review. 26: 125-125. DOI: 10.1137/1026014 |
0.458 |
|
| 1984 |
Santini PM, Ablowitz MJ, Fokas AS. The direct linearization of a class of nonlinear evolution equations Journal of Mathematical Physics. 25: 2614-2619. DOI: 10.1063/1.526490 |
0.554 |
|
| 1984 |
Fokas AS, Ablowitz MJ. On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane Journal of Mathematical Physics. 25: 2494-2505. DOI: 10.1063/1.526471 |
0.547 |
|
| 1984 |
Satsuma J, Taha TR, Ablowitz MJ. On a Bäcklund transformation and scattering problem for the modified intermediate long wave equation Journal of Mathematical Physics. 25: 900-904. DOI: 10.1063/1.526244 |
0.516 |
|
| 1984 |
Santini PM, Ablowitz MJ, Fokas AS. On the limit from the intermediate long wave equation to the Benjamin-Ono equation Journal of Mathematical Physics. 25: 892-899. DOI: 10.1063/1.526243 |
0.523 |
|
| 1984 |
Taha TR, Ablowitz MJ. Analytical and numerical aspects of certain nonlinear evolution equations. I. Analytical Journal of Computational Physics. 55: 192-202. DOI: 10.1016/0021-9991(84)90002-0 |
0.518 |
|
| 1984 |
Nachman AI, Ablowitz MJ. Multidimensional Inverse Scattering for First-Order Systems Studies in Applied Mathematics. 71: 251-262. DOI: 10.1002/Sapm1984713251 |
0.489 |
|
| 1984 |
Nachman AI, Ablowitz MJ. A Multidimensional Inverse-Scattering Method Studies in Applied Mathematics. 71: 243-250. DOI: 10.1002/Sapm1984713243 |
0.375 |
|
| 1983 |
Fokas AS, Ablowitz MJ. Method of solution for a class of multidimensional nonlinear evolution equations Physical Review Letters. 51: 7-10. DOI: 10.1103/PhysRevLett.51.7 |
0.385 |
|
| 1983 |
Ablowitz MJ, Fokas AS, Anderson RL. The direct linearizing transform and the Benjamin-Ono equation Physics Letters A. 93: 375-378. DOI: 10.1016/0375-9601(83)90463-2 |
0.525 |
|
| 1983 |
Fokas AS, Ablowitz MJ. On the inverse scattering and direct linearizing transforms for the Kadomtsev-Petviashvili equation Physics Letters A. 94: 67-70. DOI: 10.1016/0375-9601(83)90208-6 |
0.543 |
|
| 1983 |
Fokas AS, Ablowitz MJ. On the initial value problem of the second Painlevé Transcendent Communications in Mathematical Physics. 91: 381-403. DOI: 10.1007/Bf01208781 |
0.352 |
|
| 1983 |
Fokas AS, Ablowitz MJ. ON THE INVERSE SCATTERING OF THE TIME-DEPENDENT SCHROEDINGER EQUATION AND THE ASSOCIATED KADOMTSEV-PETVIASHVILI (I) EQUATION Studies in Applied Mathematics. 69: 211-228. DOI: 10.1002/Sapm1983693211 |
0.511 |
|
| 1983 |
Ablowitz MJ, Bar Yaacov D, Fokas AS. ON THE INVERSE SCATTERING TRANSFORM FOR THE KADOMTSEV-PETVIASHVILI EQUATION Studies in Applied Mathematics. 69: 135-143. DOI: 10.1002/Sapm1983692135 |
0.501 |
|
| 1983 |
Fokas AS, Ablowitz MJ. INVERSE SCATTERING TRANSFORM FOR THE BENJAMIN-ONO EQUATION - A PIVOT TO MULTIDIMENSIONAL PROBLEMS Studies in Applied Mathematics. 68: 1-10. DOI: 10.1002/Sapm19836811 |
0.446 |
|
| 1982 |
Ablowitz MJ, Fokas AS, Satsuma J, Segur H. On the periodic intermediate long wave equation Journal of Physics a: Mathematical and General. 15: 781-786. DOI: 10.1088/0305-4470/15/3/017 |
0.549 |
|
| 1982 |
Ablowitz MJ, Kodama Y. Note on Asymptotic Solutions of the Korteweg-de Vries Equation with Solitons Studies in Applied Mathematics. 66: 159-170. DOI: 10.1002/Sapm1982662159 |
0.577 |
|
| 1981 |
Fokas AS, Ablowitz MJ. Linearization of the Korteweg-de Vries and Painlevé II equations Physical Review Letters. 47: 1096-1100. DOI: 10.1103/PhysRevLett.47.1096 |
0.416 |
|
| 1981 |
Kodama Y, Satsuma J, Ablowitz MJ. Nonlinear Intermediate Long-Wave Equation: Analysis and Method of Solution Physical Review Letters. 46: 687-690. DOI: 10.1103/Physrevlett.46.687 |
0.534 |
|
| 1981 |
Kodama Y, Ablowitz MJ, Satsuma J. Direct and inverse scattering problems of the nonlinear intermediate long wave equation Journal of Mathematical Physics. 23: 564-576. DOI: 10.1063/1.525393 |
0.544 |
|
| 1981 |
Fokas AS, Ablowitz MJ. On a unified approach to transformations and elementary solutions of Painlevé equations Journal of Mathematical Physics. 23: 2033-2042. DOI: 10.1063/1.525260 |
0.505 |
|
| 1981 |
Segur H, Ablowitz MJ. Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent Physica D: Nonlinear Phenomena. 3: 165-184. DOI: 10.1016/0167-2789(81)90124-X |
0.479 |
|
| 1981 |
Ablowitz MJ. Remarks on nonlinear evolution equations and ordinary differential equations of Painlevé type Physica D: Nonlinear Phenomena. 3: 129-141. DOI: 10.1016/0167-2789(81)90122-6 |
0.548 |
|
| 1981 |
Ma Y, Ablowitz MJ. The Periodic Cubic Schrõdinger Equation Studies in Applied Mathematics. 65: 113-158. DOI: 10.1002/Sapm1981652113 |
0.488 |
|
| 1981 |
Kodama Y, Ablowitz MJ. Perturbations of Solitons and Solitary Waves Studies in Applied Mathematics. 64: 225-245. DOI: 10.1002/Sapm1981643225 |
0.489 |
|
| 1980 |
Ablowitz MJ, Ramani A, Segur H. A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II Journal of Mathematical Physics. 21: 715-721. DOI: 10.1063/1.524491 |
0.541 |
|
| 1980 |
Kodama Y, Ablowitz MJ. Transverse instability of breathers in resonant media Journal of Mathematical Physics. 21: 928-931. DOI: 10.1063/1.524480 |
0.306 |
|
| 1980 |
Ablowitz MJ, Segur H. Long Internal Waves in Fluids of Great Depth Studies in Applied Mathematics. 62: 249-262. DOI: 10.1002/Sapm1980623249 |
0.537 |
|
| 1979 |
Ablowitz MJ, Kruskal MD, Ladik JF. SOLITARY WAVE COLLISIONS. Siam J Appl Math. 36: 428-437. DOI: 10.1137/0136033 |
0.722 |
|
| 1979 |
Satsuma J, Ablowitz MJ. Two‐dimensional lumps in nonlinear dispersive systems Journal of Mathematical Physics. 20: 1496-1503. DOI: 10.1063/1.524208 |
0.448 |
|
| 1979 |
Ablowitz MJ, Kruskal M, Segur H. A note on Miura’s transformation Journal of Mathematical Physics. 20: 999-1003. DOI: 10.1063/1.524197 |
0.668 |
|
| 1979 |
Ablowitz MJ, Segur H. On the evolution of packets of water waves Journal of Fluid Mechanics. 92: 691-715. DOI: 10.1017/S0022112079000835 |
0.452 |
|
| 1979 |
ABLOWITZ M, ZEPPETELLA A. Explicit solutions of Fisher's equation for a special wave speed Bulletin of Mathematical Biology. 41: 835-840. DOI: 10.1016/S0092-8240(79)80020-8 |
0.525 |
|
| 1979 |
Satsuma J, Ablowitz MJ, Kodama Y. On an internal wave equation describing a stratified fluid with finite depth Physics Letters A. 73: 283-286. DOI: 10.1016/0375-9601(79)90534-6 |
0.506 |
|
| 1979 |
Ablowitz MJ, Cornille H. On solutions of the Korteweg-De Vries equation Physics Letters A. 72: 277-280. DOI: 10.1016/0375-9601(79)90467-5 |
0.498 |
|
| 1979 |
Ablowitz MJ, Kodama Y. Transverse instability of one-dimensional transparent optical pulses in resonant media Physics Letters A. 70: 83-86. DOI: 10.1016/0375-9601(79)90030-6 |
0.315 |
|
| 1978 |
Ablowitz MJ, Ramani A, Segur H. Nonlinear evolution equations and ordinary differential equations of painlevè type Lettere Al Nuovo Cimento. 23: 333-338. DOI: 10.1007/Bf02824479 |
0.52 |
|
| 1977 |
Ablowitz MJ. Nonlinear Evolution Equations—Continuous and Discrete Siam Review. 19: 663-684. DOI: 10.1137/1019105 |
0.563 |
|
| 1977 |
Ablowitz MJ. Nonlinear Waves (Sidney Leibovich and A. Richard Seebass) Siam Review. 19: 368-369. DOI: 10.1137/1019064 |
0.407 |
|
| 1977 |
Ablowitz MJ, Segur H. Exact linearization of a painlevé transcendent Physical Review Letters. 38: 1103-1106. DOI: 10.1103/Physrevlett.38.1103 |
0.537 |
|
| 1977 |
Ablowitz MJ, Segur H. Asymptotic Solutions of the Korteweg-deVries Equation Studies in Applied Mathematics. 57: 13-44. DOI: 10.1002/Sapm197757113 |
0.433 |
|
| 1976 |
Ablowitz MJ, Ladik JF. Nonlinear differential–difference equations and Fourier analysis Journal of Mathematical Physics. 17: 1011-1018. DOI: 10.1063/1.523009 |
0.555 |
|
| 1976 |
Segur H, Ablowitz MJ. Asymptotic solutions and conservation laws for the nonlinear Schrödinger equation. I Journal of Mathematical Physics. 17: 710-713. DOI: 10.1063/1.522967 |
0.509 |
|
| 1976 |
Ablowitz MJ, Ladik JF. A Nonlinear Difference Scheme and Inverse Scattering Studies in Applied Mathematics. 55: 213-229. DOI: 10.1002/Sapm1976553213 |
0.322 |
|
| 1975 |
Ablowitz MJ, Haberman R. Nonlinear evolution equations two and three dimensions Physical Review Letters. 35: 1185-1188. DOI: 10.1103/Physrevlett.35.1185 |
0.531 |
|
| 1975 |
Ablowitz MJ, Segur H. The inverse scattering transform: Semi‐infinite interval Journal of Mathematical Physics. 16: 1054-1056. DOI: 10.1063/1.522659 |
0.513 |
|
| 1975 |
Ablowitz MJ, Ladik JF. Nonlinear differential−difference equations Journal of Mathematical Physics. 16: 598-603. DOI: 10.1063/1.522558 |
0.539 |
|
| 1975 |
Ablowitz MJ, Haberman R. Resonantly coupled nonlinear evolution equations Journal of Mathematical Physics. 16: 2301-2305. DOI: 10.1063/1.522460 |
0.571 |
|
| 1975 |
Ablowitz MJ. A Note on Resonance and Nonlinear Dispersive Waves Studies in Applied Mathematics. 54: 61-70. DOI: 10.1002/Sapm197554161 |
0.469 |
|
| 1974 |
Ablowitz MJ, Kaup DJ, Newell AC. Coherent pulse propagation, a dispersive, irreversible phenomenon Journal of Mathematical Physics. 15: 1852-1858. DOI: 10.1063/1.1666551 |
0.378 |
|
| 1974 |
Ablowitz MJ, Kaup DJ, Newell AC, Segur H. The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems Studies in Applied Mathematics. 53: 249-315. DOI: 10.1002/Sapm1974534249 |
0.452 |
|
| 1973 |
Ablowitz MJ, Kaup DJ, Newell AC, Segur H. Nonlinear-evolution equations of physical significance Physical Review Letters. 31: 125-127. DOI: 10.1103/Physrevlett.31.125 |
0.538 |
|
| 1973 |
Ablowitz MJ, Kaup DJ, Newell AC, Segur H. Method for solving the sine-gordon equation Physical Review Letters. 30: 1262-1264. DOI: 10.1103/Physrevlett.30.1262 |
0.434 |
|
| 1973 |
Ablowitz MJ, Funk BA, Newell AC. Semi-Resonant Interactions and Frequency Dividers Studies in Applied Mathematics. 52: 51-74. DOI: 10.1002/Sapm197352151 |
0.4 |
|
| 1972 |
Ablowitz MJ. Approximate Methods for Obtaining Multi‐Phase Modes in Nonlinear Dispersive Wave Problems Studies in Applied Mathematics. 51: 17-55. DOI: 10.1002/Sapm197251117 |
0.508 |
|
| 1971 |
Ablowitz MJ. Applications of Slowly Varying Nonlinear Dispersive Wave Theories Studies in Applied Mathematics. 50: 329-344. DOI: 10.1002/Sapm1971504329 |
0.396 |
|
| 1970 |
Ablowitz MJ, Benney DJ. The Evolution of Multi-Phase Modes for Nonlinear Dispersive Waves Studies in Applied Mathematics. 49: 225-238. DOI: 10.1002/Sapm1970493225 |
0.396 |
|
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