Well-posedness and blowup phenomena for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs

DOI10.1007/s00028-014-0236-4zbMath1304.35224OpenAlexW1981384684MaRDI QIDQ742239

Shouming Zhou

Publication date: 18 September 2014

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-014-0236-4

zbMATH Keywords

global existencebi-Hamiltonian structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Related Items (9)

Symmetry analysis, persistence properties and unique continuation for the cross-coupled Camassa-Holm system ⋮ A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons ⋮ Well-posedness and blow-up phenomena for the cross-coupled Camassa-Holm system ⋮ Global conservative solutions for a modified periodic coupled Camassa-Holm system ⋮ Continuity and analyticity for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs ⋮ A new generalised two-component Camassa-Holm type system with waltzing peakons and wave breaking ⋮ Continuity for a generalized cross-coupled Camassa-Holm system with waltzing peakons and higher-order nonlinearities ⋮ Qualitative analysis for a new generalized 2-component Camassa-Holm system ⋮ On the solutions of the cross-coupled Camassa-Holm system

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