Asymptotic Solutions of the Whitham Equations

DOI10.2991/jnmp.2001.8.s.22zbMath0977.35119OpenAlexW4241895766MaRDI QIDQ2732468

Tamara Grava

Publication date: 23 July 2001

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.22

zbMATH Keywords

Burgers equationKorteweg-de Vries equationWhitham equationspolynomial initial dataasymptotically self-similar

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

• Method of averaging for two-dimensional integrable equations
• The initial value problem for the Whitham averaged system
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• The small dispersion limit of the Korteweg-de Vries equation. I
• The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient
• The hyperbolic nature of the zero dispersion Kdv limit
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• Oscillations of the zero dispersion limit of the korteweg‐de vries equation

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