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

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

2008-11-16

arxiv.org/abs/0811.2552v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, 5 figures

Scientific paper

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.

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