Multi-component generalization of Camassa-Holm equation
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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