An initial boundary value problem of Camassa–Holm equation

DOI10.1063/1.1288498zbMath0972.35134OpenAlexW2083333450MaRDI QIDQ2731838

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Publication date: 30 July 2001

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

Full work available at URL: https://doi.org/10.1063/1.1288498

zbMATH Keywords

local existenceblow-upCamassa-Holm equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (15)

Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs ⋮ On the initial boundary value problem for a shallow water equation ⋮ On solitary wave solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara equations with the dual-power law nonlinearities ⋮ Solutions of the Camassa-Holm equation near the soliton ⋮ Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation ⋮ Initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation ⋮ On the initial boundary value problems for the Degasperis-Procesi equation ⋮ On the Cauchy problem of the Camassa-Holm equation ⋮ Initial boundary value problems for nonlinear dispersive wave equations ⋮ Initial Boundary Value Problems of the Camassa–Holm Equation ⋮ Blow-up of the solutions of the initial boundary value problem of Camassa-Holm equation ⋮ Error estimates for Galerkin finite element methods for the Camassa-Holm equation ⋮ Initial boundary value problem for a coupled Camassa–Holm system with peakons

Cites Work

• Wave breaking for nonlinear nonlocal shallow water equations
• The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
• On the Cauchy problem for the periodic Camassa-Holm equation
• Solitons in the Camassa-Holm shallow water equation
• Global weak solutions for a shallow water equation
• An integrable shallow water equation with peaked solitons
• A completely integrable Hamiltonian system

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