Integrable multi-component Camassa-Holm system

Baoqiang Xia, Zhijun Qiao

Description:

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 proven integrable in the sense of Lax pair and infinitely many conservation laws. We particularly study the case of N=2 and derive the peaked soliton (peakon) solutions.

Cite as:
  arXiv:1310.0268 [nlin.SI]
  (or arXiv:1310.0268v1 [nlin.SI] for this version)
   

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