Mark J. Ablowitz

University of Colorado Boulder — United States

Physics and Astronomy · Physical Sciences

79h-index34.7kcitations468works2.42yr avg
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Research Topics

Nonlinear Photonic Systems(268), Nonlinear Waves and Solitons(258), Advanced Fiber Laser Technologies(116), Advanced Mathematical Physics Problems(80), Optical Network Technologies(40)

Publications468 total

Spiral Wave Solutions in Water Waves
arXiv (Cornell University)·2025Open Access
On the integrable six-wave interaction system and its space–time shifted reduction
Physica D Nonlinear Phenomena·2025
Spiral waves and localized modes in dispersive wave equations
Wave Motion·2025· 1 cited
Fractional integrable Toda lattice and hierarchy
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences·2025· 1 cited
Integrable fractional Burgers hierarchy
Journal of Nonlinear Waves·2025· 1 citedOpen Access
Inverse scattering transform for continuous and discrete space‐time‐shifted integrable equations
Studies in Applied Mathematics·2024· 16 cited
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas
Studies in Applied Mathematics·2024· 2 cited
Generalized Haldane model in a magneto-optical honeycomb lattice
Physical review. A/Physical review, A·2024
Switching via wave interaction in topological photonic lattices
Optics Letters·2024· 3 cited
Fractional Integrable Dispersive Equations
Nonlinear systems and complexity·2024
Inverse scattering transform for continuous and discrete space-time shifted integrable equations
arXiv (Cornell University)·2023· 2 citedOpen Access
Three-Wave Interaction Equations: Classical and Nonlocal
SIAM Journal on Mathematical Analysis·2023· 6 cited
Unified Approach to Floquet Lattices, Topological Insulators, and Their Nonlinear Dynamics
SIAM Journal on Applied Mathematics·2023· 5 cited
The Haldane Model in a Magneto-optical Honeycomb Lattice
arXiv (Cornell University)·2023Open Access
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics
Studies in Applied Mathematics·2023· 24 cited
Switching via Wave Interaction in Topological Photonic Lattices
arXiv (Cornell University)·2023Open Access
Six wave interaction equations in finite-depth gravity waves with surface tension
Journal of Fluid Mechanics·2023· 6 cited
Nonlinear waves and the Inverse Scattering Transform
Optik·2023· 26 cited
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation
Studies in Applied Mathematics·2022· 4 cited
Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics
arXiv (Cornell University)·2022Open Access
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Frequent Co-authors

Harvey Segur(10), Ziad H. Musslimani(7), A. S. Fokas(7), J. F. Ladik(5), D. J. Kaup(4), Alan C. Newell(4), B. M. Herbst(4), A. Ramani(3), Junkichi Satsuma(2), B. Prinari(2), Anthony Zeppetella(2), Gino Biondini(2), A. D. Trubatch(1), D. Bar Yaacov(1), Mark A. Hoefer(1), Ian Coddington(1), Eric Cornell(1), Peter Engels(1), Volker Schweikhard(1), Yuji Kodama(1)