Waltzing peakons and compacton pairs in a cross-coupled Camassa–Holm equation

DOI10.1088/1751-8113/44/26/265205zbMath1225.35198arXiv1103.3326OpenAlexW2003950026MaRDI QIDQ3021473

Darryl D. Holm, James R. Percival, Rossen I. Ivanov, Colin John Cotter

Publication date: 25 July 2011

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

Full work available at URL: https://arxiv.org/abs/1103.3326

zbMATH Keywords

water wavessoliton collisionssingular solitons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (11)

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 ⋮ Pseudolocalized three-dimensional solitary waves as quasi-particles ⋮ Peakon solutions of Alice-Bob \(b\)-family equation and Novikov equation ⋮ Well-posedness and blow-up phenomena for the cross-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 ⋮ Well-posedness and blowup phenomena for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs ⋮ Remarks on certain two-component systems with peakon solutions ⋮ On the solutions of the cross-coupled Camassa-Holm system

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