| Tight-binding methods for general longitudinally driven photonic lattices: Edge states and solitons MJ Ablowitz, JT Cole Physical Review A 96 (4), 043868, 2017 | 58 | 2017 |
| Band gaps and lattice solitons for the higher-order nonlinear Schrödinger equation with a periodic potential JT Cole, ZH Musslimani Physical Review A 90 (1), 013815, 2014 | 35 | 2014 |
| Topological insulators in longitudinally driven waveguides: Lieb and kagome lattices MJ Ablowitz, JT Cole Physical Review A 99 (3), 033821, 2019 | 29 | 2019 |
| Transverse instability of rogue waves MJ Ablowitz, JT Cole Physical Review Letters 127 (10), 104101, 2021 | 24 | 2021 |
| Twofold symmetry in doubly exponential optical lattices JT Cole, KG Makris, ZH Musslimani, DN Christodoulides, S Rotter Physical Review A 93 (1), 013803, 2016 | 22 | 2016 |
| Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrödinger equation JT Cole, ZH Musslimani Physica D: Nonlinear Phenomena 313, 26-36, 2015 | 22 | 2015 |
| Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues MJ Ablowitz, XD Luo, JT Cole Journal of Mathematical Physics 59 (9), 2018 | 16 | 2018 |
| Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators MJ Ablowitz, JT Cole Physica D: Nonlinear Phenomena 440, 133440, 2022 | 15 | 2022 |
| Modulational instability in a PT-symmetric vector nonlinear Schrödinger system JT Cole, KG Makris, ZH Musslimani, DN Christodoulides, S Rotter Physica D: Nonlinear Phenomena 336, 53-61, 2016 | 14 | 2016 |
| Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators MJ Ablowitz, JT Cole, P Hu, P Rosenthal Physical Review E 103 (4), 042214, 2021 | 13 | 2021 |
| Whitham equations and phase shifts for the Korteweg–de Vries equation MJ Ablowitz, JT Cole, I Rumanov Proceedings of the Royal Society A 476 (2240), 20200300, 2020 | 13 | 2020 |
| On the Whitham system for the radial nonlinear Schrödinger equation MJ Ablowitz, JT Cole, I Rumanov Studies in Applied Mathematics 142 (3), 269-313, 2019 | 11 | 2019 |
| Solitons and topological waves MJ Ablowitz, JT Cole Science 368 (6493), 821-822, 2020 | 9 | 2020 |
| Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics MJ Ablowitz, JT Cole, GA El, MA Hoefer, XD Luo Studies in Applied Mathematics 151 (3), 795-856, 2023 | 7 | 2023 |
| Time-dependent spectral renormalization method JT Cole, ZH Musslimani Physica D: Nonlinear Phenomena 358, 15-24, 2017 | 7 | 2017 |
| On the Whitham system for the (2+ 1)‐dimensional nonlinear Schrödinger equation MJ Ablowitz, JT Cole, I Rumanov Studies in Applied Mathematics 150 (2), 380-419, 2023 | 5 | 2023 |
| Discrete approximation of topologically protected modes in magneto-optical media MJ Ablowitz, JT Cole Physical Review A 101 (2), 023811, 2020 | 5 | 2020 |
| Unified approach to floquet lattices, topological insulators, and their nonlinear dynamics MJ Ablowitz, JT Cole, SD Nixon SIAM Journal on Applied Mathematics 83 (4), 1623-1653, 2023 | 3 | 2023 |
| Generalized Haldane model in a magneto-optical honeycomb lattice MJ Ablowitz, JT Cole Physical Review A 109 (3), 033503, 2024 | | 2024 |
| Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations JT Cole, AM Aurko, ZH Musslimani Nonlinearity 37 (4), 045001, 2024 | | 2024 |
Mark J AblowitzProfessor of Applied Mathematics, University of ColoradoVerified email at colorado.edu
