Rigorous justification of the Whitham modulation theory for equations of NLS type

DOI10.1111/sapm.12390zbMath1487.35350arXiv2011.09656OpenAlexW3163228796MaRDI QIDQ5153938

Robert Marangell, W. A. Clarke

Publication date: 1 October 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09656

zbMATH Keywords

nonlinear wavesnonlinear Schrödinger equationpartial differential equationsmodulational stabilityWhitham modulation theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Traveling wave solutions (35C07)

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