Multi-component generalization of Camassa-Holm equation
Exactly Solvable and Integrable Systems
2015-05-12 v2
Abstract
In this paper, we propose a multi-component system of Camassa-Holm equation, denoted by CH(,) with 2N components and an arbitrary smooth function . This system is shown to admit Lax pair and infinitely many conservation laws. We particularly study the case of N=2 and derive the bi-Hamiltonian structures and peaked soliton (peakon) solutions for some examples.
Keywords
Cite
@article{arxiv.1310.0268,
title = {Multi-component generalization of Camassa-Holm equation},
author = {Baoqiang Xia and Zhijun Qiao},
journal= {arXiv preprint arXiv:1310.0268},
year = {2015}
}