The general peakon–antipeakon solution for the Camassa–Holm equation

DOI10.1142/S0219891616500119zbMath1352.35146arXiv1502.07686OpenAlexW1491186885WikidataQ115245219 ScholiaQ115245219MaRDI QIDQ2818344

Helge Holden, Katrin Grunert

Publication date: 7 September 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07686

zbMATH Keywords

wave breakingRadon measurecharacteristicsLagrangian variablespeakonEulerian variables

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Boltzmann equations (35Q20)

Related Items (9)

Ghostpeakons and characteristic curves for the Camassa-Holm, Degasperis-Procesi and Novikov equations ⋮ A numerical study of variational discretizations of the Camassa-Holm equation ⋮ Dissipative prolongations of the multipeakon solutions to the Camassa-Holm equation ⋮ A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION ⋮ Solitary wave solutions to a generalization of the mKdV equation ⋮ Viscosity solutions to an initial value problem for a Hamilton-Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons ⋮ Existence of solutions to a one-dimensional Hamilton–Jacobi equation with a degenerate Hamiltonian ⋮ A view of the peakon world through the lens of approximation theory ⋮ Geometric aspects of two- and threepeakons

Cites Work

• Unnamed Item
• Unnamed Item
• Erratum: Non-uniform dependence on initial data for the CH equation on the line [Differ. Integral Equ. 22, No. 3-4, 201--224 (2009; Zbl 05944812).]
• A convergent numerical scheme for the Camassa-Holm equation based on multipeakons
• Multipeakons and the classical moment problem
• Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
• On the scattering problem for the Camassa-Holm equation
• The multiple-soliton solution of the Camassa-Holm equation
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Periodic conservative solutions for the two-component Camassa-Holm system
• A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM

This page was built for publication: The general peakon–antipeakon solution for the Camassa–Holm equation