On the Cauchy problem of the Camassa-Holm equation
type: Item
instance of: scholarly article
title: On the Cauchy problem of the Camassa-Holm equation
zbMATH Open document ID: 1222.35169
author: Keng-Huat Kwek
author: Chaochun Qu
author: Huihui Dai
author: Hongjun Gao
published in: Frontiers of Mathematics in China
publication date: 2011-10-13T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76B03
zbMATH DE Number: 5957892
zbMATH Keywords: local existence
zbMATH Keywords: global existence
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Camassa-Holm equation
MaRDI profile type: Publication
full work available at URL: s11464-005-0002-6
OpenAlex ID: W1892137232
cites work: Q4311808
cites work: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
cites work: The Lie algebra structure of nonlinear evolution equations admitting infinite-dimensional abelian symmetry groups.
cites work: Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
cites work: Zero curvature formulations of dual hierarchies
cites work: The Camassa-Holm equation: a loop group approach
cites work: A shallow water equation on the circle
cites work: The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
cites work: On billiard solutions of nonlinear PDEs
cites work: Solitons in the Camassa-Holm shallow water equation
cites work: On the link between umbilic geodesics and soliton solutions of nonlinear PDEs
cites work: Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons
cites work: Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions
cites work: On the Cauchy problem for the periodic Camassa-Holm equation
cites work: Global weak solutions for a shallow water equation
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Q4225587
cites work: An initial boundary value problem of Camassa-Holm equation
cites work: Q4269460
cites work: On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation
cites work: Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data
cites work: On the weak solutions to a shallow water equation.
cites work: Singular and rarefactive solutions to a nonlinear variational wave equation
cites work: On a completely integrable nonlinear hyperbolic variational equation
cites work: On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits
cites work: Well-posedness of the Cauchy problem for a shallow water equation on the circle
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: Q4511375
cites work: Functional Analysis
DOI: 10.1007/S11464-005-0002-6
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description: scientific article; zbMATH DE number 5957892