Bound to the number of oscillatory phases in the solution of the Whitham-KdV equations

DOI10.1016/S0375-9601(99)00142-5zbMath0938.35161OpenAlexW2066152143MaRDI QIDQ1967101

Tamara Grava

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00142-5

zbMATH Keywords

interacting oscillatory phasespolynomial initial dataWhitham-KdV equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• Inheritance of symmetries under Whitham averaging of the KdV equation and hydrodynamic symmetries of the Whitham equations
• Method of averaging for two-dimensional integrable equations
• The Whitham-type equations and linear overdetermined systems of Euler- Poisson-Darboux type
• The small dispersion limit of the Korteweg-de Vries equation. III
• The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient
• The generation of modulated wavetrains in the solution of the Korteweg—de vries equation
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• Oscillations of the zero dispersion limit of the korteweg‐de vries equation
• Computing the weak limit of KdV

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