Wave dynamics for peaked solitons of the Camassa-Holm equation

DOI10.1016/j.chaos.2007.07.049zbMath1175.35126OpenAlexW1978856449MaRDI QIDQ2469937

Allen Parker

Publication date: 11 February 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.07.049

zbMATH Keywords

wave dynamicspeaked solitonsCH equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Exact solutions to problems in general relativity and gravitational theory (83C15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Cusped solitons of the Camassa-Holm equation. II. Binary cuspon-soliton interactions, A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions, Attractor for a viscous coupled Camassa-Holm equation, Coupled Camassa-Holm equations, \(N\)-peakons and infinitely many conservation laws, On an integrable two-component Camassa-Holm shallow water system, Cusped solitons of the Camassa-Holm equation. I: Cuspon solitary wave and antipeakon limit, Bäcklund transformations for the Camassa-Holm equation, A Super Camassa–Holm Equation with N‐Peakon Solutions, Initial-boundary value problem for the Camassa-Holm equation with linearizable boundary condition, Peakon-antipeakon interaction in the Dullin-Gottwald-Holm equation, Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system, Error estimates for Galerkin finite element methods for the Camassa-Holm equation, A view of the peakon world through the lens of approximation theory, On nonlinear population waves

Cites Work

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• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Multipeakons and the classical moment problem
• Peakon-Antipeakon Interaction
• The multiple-soliton solution of the Camassa-Holm equation
• On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves
• Multi-peakons and a theorem of Stieltjes
• An integrable shallow water equation with peaked solitons
• Some Water Wave Equations and Integrability
• On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions
• On the Camassa–Holm equation and a direct method of solution. III. N -soliton solutions
• Parametric Representation for the Multisoliton Solution of the Camassa–Holm Equation