On Camassa-Holm Equation with Self-Consistent Sources and Its Solutions

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-n...

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Bibliographic Details
Published in:Communications in theoretical physics 2010-03, Vol.53 (3), p.403-412
Main Author: 黄晔辉 姚玉芹 曾云波
Format: Article
Language:English
Subjects:
常数变易法
方程推导
表示法
解方程
达布变换
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Summary: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.
ISSN:0253-6102
DOI:10.1088/0253-6102/53/3/02