A proof of validity for multiphase Whitham modulation theory

DOI10.1098/rspa.2020.0203zbMath1472.35332arXiv2003.10732OpenAlexW3013582695WikidataQ104574372 ScholiaQ104574372MaRDI QIDQ5161160

Guido Schneider, Anna Kostianko, Thomas J. Bridges

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10732

zbMATH Keywords

differential equationsmodulationnonlinear wave equationsapplied mathematicsaveraged LagrangianGevrey spacesCauchy-Kowalevskaya

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items (6)

Evolution of initial discontinuities in the Riemann problem for the Jaulent-Miodek equation with positive dispersion ⋮ Validity of Whitham's modulation equations for dissipative systems with a conservation law: Phase dynamics in a generalized Ginzburg-Landau system ⋮ A robust way to justify the derivative NLS approximation ⋮ Validity of the hyperbolic Whitham modulation equations in Sobolev spaces ⋮ Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory ⋮ Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics

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