Multi-component generalization of Camassa-Holm equation

Published 1 Oct 2013 in nlin.SI | (1310.0268v2)

Abstract: In this paper, we propose a multi-component system of Camassa-Holm equation, denoted by CH($N$,$H$) with 2N components and an arbitrary smooth function $H$. 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.

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