Multi-component generalization of the Camassa-Holm equation

DOI10.1016/j.geomphys.2016.04.020zbMath1383.35203arXiv1310.0268OpenAlexW2963499383MaRDI QIDQ303870

Zhijun Qiao, Baoqiang Xia

Publication date: 22 August 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0268

zbMATH Keywords

Camassa-Holm equationbi-Hamiltonian structureLax pairpeakon

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) Soliton solutions (35C08)

Related Items

Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system, A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions, An integrable four-component Camassa–Holm-type system, MULTI-PEAKON SOLUTIONS TO A FOUR-COMPONENT CAMASSA-HOLM TYPE SYSTEM, Global weak solutions for a two-component Camassa–Holm system with an arbitrary smooth function, Inverse Spectral Problem and Peakons of an Integrable Two-component Camassa-Holm System, Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function, Weak well-posedness for the integrable modified Camassa-Holm equation with the cubic nonlinearity, Well-posedness and analyticity of the Cauchy problem for the multi-component Novikov equation, A four component cubic peakon (4CH) equation, A view of the peakon world through the lens of approximation theory, Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations, Local well-posedness and global existence for a multi-component Novikov equation, Blow-up phenomena and global existence for a two-component Camassa-Holm system with an arbitrary smooth function

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