Asymptotics of regular solutions to the Camassa-Holm problem

DOI10.1134/S0965542520020074zbMath1450.35123OpenAlexW3016717098MaRDI QIDQ2206484

Sergey A. Kaschenko

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520020074

zbMATH Keywords

asymptotic expansionperiodic solutionnormal formCamassa-Holm equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (2)

Local dynamics of two-component parabolic systems of Schrödinger type ⋮ Comparative dynamics of chains of coupled van der Pol equations and coupled systems of van der Pol equations

Cites Work

• Unnamed Item
• On ``new travelling wave solutions of the KdV and the KdV-Burgers equations
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Bifurcations in the generalized Korteweg-de Vries equation
• Bifurcations in Kuramoto-Sivashinsky equations
• Regular and irregular solutions in the problem of dislocations in solids
• Dynamics of a delay logistic equation with slowly varying coefficients
• On the fully-nonlinear shallow-water generalized Serre equations
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves

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