Infinite-order rogue waves that are small (but not small in $L^2$)
Summary
preprint
Deniz Bilman
About
Work
University of Cincinnati
|Assistant Professor
US
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University of Michigan
|Postdoctoral Assistant Professor
US
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Publications
General rogue waves of infinite order: Exact properties, asymptotic behavior, and effective numerical computation
Summary
preprint
bilman/RogueWaveInfiniteNLS.jl: v0.1.4
Published by
Zenodo
Summary
software
Computation of large-genus solutions of the Korteweg–de Vries equation
Published by
Physica D: Nonlinear Phenomena
Summary
journal-article
Broader universality of rogue waves of infinite order
Published by
Physica D: Nonlinear Phenomena
Summary
journal-article
Far-field asymptotics for multiple-pole solitons in the large-order limit
Published by
Journal of Differential Equations
Summary
journal-article
Extreme superposition: Rogue waves of infinite order and the Painlevé-III hierarchy
Published by
Duke Mathematical Journal
Summary
journal-article
On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data
Published by
Nonlinearity
Summary
journal-article
Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrödinger Equation
Published by
Journal of Nonlinear Science
Summary
journal-article
A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation
Published by
Communications on Pure and Applied Mathematics
Summary
journal-article
Benchmarking numerical methods for lattice equations with the Toda lattice
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Applied Numerical Mathematics
Summary
journal-article
Numerical Inverse Scattering for the Toda Lattice
Published by
Communications in Mathematical Physics
Summary
journal-article
Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps
Published by
Symmetries and Integrability of Difference Equations
Summary
book-chapter
On the evolution of scattering data under perturbations of the Toda lattice
Published by
Physica D: Nonlinear Phenomena
Summary
journal-article