Pavel M. Lushnikov - Publications

Affiliations: 
Mathematics University of New Mexico, Albuquerque, NM, United States 
Area:
Mathematics

40 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2023 Deconinck B, Dyachenko SA, Lushnikov PM, Semenova A. The dominant instability of near-extreme Stokes waves. Proceedings of the National Academy of Sciences of the United States of America. 120: e2308935120. PMID 37523557 DOI: 10.1073/pnas.2308935120  0.724
2019 Dyachenko A, Dyachenko S, Lushnikov P, Zakharov V. NEW INTEGRALS OF MOTION AND NON-CANONICAL HAMILTONIAN STRUCTURE FOR 2D HYDRODYNAMICS WITH FREE SURFACE The Xxii Workshop of the Council of Nonlinear Dynamics of the Russian Academy of Sciences. 47: 51-54. DOI: 10.29006/1564-2291.jor-2019.47(1).13  0.718
2019 Dyachenko AI, Dyachenko SA, Lushnikov PM, Zakharov VE. Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion Journal of Fluid Mechanics. 874: 891-925. DOI: 10.1017/Jfm.2019.448  0.711
2019 Dyachenko AI, Lushnikov PM, Zakharov VE. Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface Journal of Fluid Mechanics. 869: 526-552. DOI: 10.1017/Jfm.2019.219  0.43
2018 Lushnikov PM, Zubarev NM. Exact Solutions for Nonlinear Development of a Kelvin-Helmholtz Instability for the Counterflow of Superfluid and Normal Components of Helium II. Physical Review Letters. 120: 204504. PMID 29864357 DOI: 10.1103/Physrevlett.120.204504  0.416
2018 Wright LG, Ziegler ZM, Lushnikov PM, Zhu Z, Eftekhar MA, Christodoulides DN, Wise FW. Multimode Nonlinear Fiber Optics: Massively Parallel Numerical Solver, Tutorial, and Outlook Ieee Journal of Selected Topics in Quantum Electronics. 24: 1-16. DOI: 10.1109/Jstqe.2017.2779749  0.31
2017 Lushnikov PM, Dyachenko SA, A Silantyev D. New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Proceedings. Mathematical, Physical, and Engineering Sciences. 473: 20170198. PMID 28690418 DOI: 10.1098/Rspa.2017.0198  0.741
2017 Silantyev DA, Lushnikov PM, Rose HA. Langmuir wave filamentation in the kinetic regime. II. Weak and strong pumping of nonlinear electron plasma waves as the route to filamentation Physics of Plasmas. 24: 042105. DOI: 10.1063/1.4979290  0.408
2017 Silantyev DA, Lushnikov PM, Rose HA. Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations Physics of Plasmas. 24: 042104. DOI: 10.1063/1.4979289  0.391
2016 Dyachenko SA, Lushnikov PM, Korotkevich AO. Branch Cuts of Stokes Wave on Deep Water. Part I: Numerical Solution and Padé Approximation Studies in Applied Mathematics. DOI: 10.1111/Sapm.12128  0.744
2016 Lushnikov PM. Structure and location of branch point singularities for Stokes waves on deep water Journal of Fluid Mechanics. 800: 557-594. DOI: 10.1017/Jfm.2016.405  0.499
2014 Lushnikov PM, Vladimirova N. Nonlinear combining of laser beams. Optics Letters. 39: 3429-32. PMID 24978503 DOI: 10.1364/Nlo.2015.Nf2A.6  0.312
2014 Dyachenko SA, Lushnikov PM, Korotkevich AO. Complex singularity of a stokes wave Jetp Letters. 98: 675-679. DOI: 10.1134/S0021364013240077  0.751
2014 Dejak SI, Egli D, Lushnikov PM, Sigal IM. On blowup dynamics in the Keller–Segel model of chemotaxis St Petersburg Mathematical Journal. 25: 547-574. DOI: 10.1090/S1061-0022-2014-01306-4  0.333
2014 Lushnikov PM, Rose HA, Silantyev DA, Vladimirova N. Vlasov multi-dimensional model dispersion relation Physics of Plasmas. 21. DOI: 10.1063/1.4886122  0.395
2013 Lushnikov PM, Dyachenko SA, Vladimirova N. Beyond leading-order logarithmic scaling in the catastrophic self-focusing of a laser beam in Kerr media Physical Review a - Atomic, Molecular, and Optical Physics. 88. DOI: 10.1103/Physreva.88.013845  0.723
2013 Dyachenko SA, Lushnikov PM, Vladimirova N. Logarithmic scaling of the collapse in the critical Keller-Segel equation Nonlinearity. 26: 3011-3041. DOI: 10.1088/0951-7715/26/11/3011  0.728
2012 Gejji R, Lushnikov PM, Alber M. Macroscopic model of self-propelled bacteria swarming with regular reversals. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 021903. PMID 22463240 DOI: 10.1103/Physreve.85.021903  0.369
2012 Dejak SI, Lushnikov PM, Ovchinnikov YN, Sigal IM. On spectra of linearized operators for Keller-Segel models of chemotaxis Physica D: Nonlinear Phenomena. 241: 1245-1254. DOI: 10.1016/J.Physd.2012.04.003  0.348
2011 Chung Y, Lushnikov PM. Strong collapse turbulence in a quintic nonlinear Schrödinger equation. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 036602. PMID 22060517 DOI: 10.1103/Physreve.84.036602  0.404
2011 Dyachenko SA, Lushnikov PM, Vladimirova N. Logarithmic-type scaling of the collapse of Keller-Segel equation Aip Conference Proceedings. 1389: 709-712. DOI: 10.1063/1.3636829  0.724
2010 Lushnikov PM, Vladimirova N. Non-Gaussian statistics of multiple filamentation. Optics Letters. 35: 1965-7. PMID 20548354 DOI: 10.1364/Ol.35.001965  0.428
2010 Lushnikov PM. Collapse and stable self-trapping for Bose-Einstein condensates with 1/rb-type attractive interatomic interaction potential Physical Review a - Atomic, Molecular, and Optical Physics. 82. DOI: 10.1103/Physreva.82.023615  0.322
2010 Lushnikov PM. Critical chemotactic collapse Physics Letters, Section a: General, Atomic and Solid State Physics. 374: 1678-1685. DOI: 10.1016/J.Physleta.2010.01.068  0.407
2008 Lushnikov PM, Chen N, Alber M. Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 78: 061904. PMID 19256865 DOI: 10.1103/Physreve.78.061904  0.367
2007 Alber M, Chen N, Lushnikov PM, Newman SA. Continuous macroscopic limit of a discrete stochastic model for interaction of living cells. Physical Review Letters. 99: 168102. PMID 17995299 DOI: 10.1103/Physrevlett.99.168102  0.319
2007 Gabitov I, Indik R, Mollenauer L, Shkarayev M, Stepanov M, Lushnikov PM. Twin families of bisolitons in dispersion-managed systems. Optics Letters. 32: 605-7. PMID 17308575 DOI: 10.1364/Ol.32.000605  0.335
2006 Alber M, Chen N, Glimm T, Lushnikov PM. Multiscale dynamics of biological cells with chemotactic interactions: from a discrete stochastic model to a continuous description. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 73: 051901. PMID 16802961 DOI: 10.1103/Physreve.73.051901  0.326
2005 Lushnikov PM, Zakharov VE. On optimal canonical variables in the theory of ideal fluid with free surface Physica D: Nonlinear Phenomena. 203: 9-29. DOI: 10.1016/J.Physd.2005.02.010  0.38
2004 Lushnikov PM, Rose HA. Instability versus equilibrium propagation of a laser beam in plasma. Physical Review Letters. 92: 255003. PMID 15245018 DOI: 10.1103/Physrevlett.92.255003  0.326
2004 Lushnikov PM. Oscillating tails of a dispersion-managed soliton Journal of the Optical Society of America B: Optical Physics. 21: 1913-1918. DOI: 10.1364/Josab.21.001913  0.385
2004 Lushnikov PM. Exactly integrable dynamics of interface between ideal fluid and light viscous fluid Physics Letters, Section a: General, Atomic and Solid State Physics. 329: 49-54. DOI: 10.1016/J.Physleta.2004.06.073  0.328
2002 Gabitov IR, Lushnikov PM. Nonlinearity management in a dispersion-managed system Optics Letters. 27: 113-115. DOI: 10.1364/Ol.27.000113  0.302
2001 Lushnikov PM. Dispersion-managed soliton in a strong dispersion map limit Optics Letters. 26: 1535-1537. DOI: 10.1364/Ol.26.001535  0.406
2000 Lushnikov PM. Dispersion-managed soliton in optical fibers with zero average dispersion Optics Letters. 25: 1144-1146. DOI: 10.1364/Ol.25.001144  0.365
2000 Lushnikov PM. On the boundary of the dispersion-managed soliton existence Jetp Letters. 72: 111-114. DOI: 10.1134/1.1316810  0.309
2000 Lushnikov PM, Saffman M. Collapse in a forced three-dimensional nonlinear Schrödinger equation Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 62: 5793-5796. DOI: 10.1103/Physreve.62.5793  0.381
1999 Lushnikov PM, Mamaev AV. Spontaneous hexagon formation in photorefractive crystal with a single pump wave Optics Letters. 24: 1511-1513. DOI: 10.1364/Ol.24.001511  0.369
1998 Lushnikov PM, Lodahl P, Saffman M. Transverse modulational instability of counterpropagating quasi-phase-matched beams in a quadratically nonlinear medium Optics Letters. 23: 1650-1652. DOI: 10.1364/Ol.23.001650  0.33
1998 Lushnikov PM. Hexagonal optical structures in photorefractive crystals with a feedback mirror Journal of Experimental and Theoretical Physics. 86: 614-627. DOI: 10.1134/1.558513  0.466
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