On Camassa-Holm equation with self-consistent sources and its solutions

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Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with self-consistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CHESCS are constructed. The peakon solution, N-soliton, N-cuspon, N-positon and N-negaton solutions of CHESCS are obtained by using Darboux transformation and the method of variation of constants.
20 pages, 5 figures

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/174285

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.2552
 http://arxiv.org/abs/0811.2552

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arXiv