On Camassa-Holm equation with self-consistent sources and its solutions
Exactly Solvable and Integrable Systems
2008-11-18 v1
Abstract
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.
Cite
@article{arxiv.0811.2552,
title = {On Camassa-Holm equation with self-consistent sources and its solutions},
author = {Yehui Huang and Yuqin Yao and Yunbo Zeng},
journal= {arXiv preprint arXiv:0811.2552},
year = {2008}
}
Comments
20 pages, 5 figures