Mark J. Ablowitz
Affiliations: | Applied Mathematics | University of Colorado, Boulder, Boulder, CO, United States |
Area:
Mathematics, Physical OceanographyGoogle:
"Mark Ablowitz"Parents
Sign in to add mentor| David John Benney | grad student | 1971 | MIT | |
| (Dissertation: Non-Linear Dispersive Waves and Multiphase Modes) | ||||
| Ahmet Şefik Çakmak | research scientist | 1977-1978 | Princeton (E-Tree) | |
| (A Comparison Between Finite Element Methods and Spectral Methods as Applied to Bound State Problems) | ||||
| Martin David Kruskal | research scientist | 1979 | Princeton (Physics Tree) | |
| (Solitary wave collisions) | ||||
Children
Sign in to add trainee| Avrom D. Trubatch | grad student | 2000 | CU Boulder |
| Rudy L. Horne | grad student | 2001 | CU Boulder |
| Cory D. Ahrens | grad student | 2006 | CU Boulder |
| Mark A. Hoefer | grad student | 2006 | CU Boulder |
| T. H. Haut | grad student | 2008 | CU Boulder |
| S. D. Nixon | grad student | 2011 | CU Boulder |
| Douglas E. Baldwin | grad student | 2013 | CU Boulder |
| Athanassios S Fokas | post-doc | 1986-1989 | Clarkson University (Fluid Dynamics and Combustion Tree) |
| Mehmet Can | research scientist | 1986-1987 | Clarkson University (Physics Tree) |
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Publications
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| Ablowitz MJ, Nixon SD, Cole JT. (2024) Switching via wave interaction in topological photonic lattices. Optics Letters. 49: 734-737 |
| Ablowitz MJ, Been JB, Carr LD. (2022) Fractional Integrable Nonlinear Soliton Equations. Physical Review Letters. 128: 184101 |
| Ablowitz MJ, Cole JT. (2021) Transverse Instability of Rogue Waves. Physical Review Letters. 127: 104101 |
| Ablowitz MJ, Cole JT, Hu P, et al. (2021) Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators. Physical Review. E. 103: 042214 |
| Ablowitz MJ, Cole JT, Rumanov I. (2020) Whitham equations and phase shifts for the Korteweg-de Vries equation. Proceedings. Mathematical, Physical, and Engineering Sciences. 476: 20200300 |
| Ablowitz MJ, Cole JT. (2020) Solitons and topological waves. Science (New York, N.Y.). 368: 821-822 |
| Ablowitz MJ, Cole JT. (2020) Discrete approximation of topologically protected modes in magneto-optical media Physical Review A. 101: 23811 |
| Ablowitz MJ, Luo X, Musslimani ZH. (2020) Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons Nonlinearity. 33: 3653-3707 |
| Ablowitz MJ, Hammack J, Henderson D, et al. (2019) Modulated periodic stokes waves in deep water Physical Review Letters. 84: 887-90 |
| Ablowitz MJ, Cole JT, Rumanov I. (2019) On the Whitham system for the radial nonlinear Schrödinger equation Studies in Applied Mathematics. 142: 269-313 |