Multi-component generalization of Camassa-Holm equation

2013/10/01 by Baoqiang Xia, Xia, Baoqiang, Zhijun Qiao +1 · 1 citation
Physics and Astronomy · Mathematics · Biochemistry, Genetics and Molecular Biology · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Biological Activity of Diterpenoids and Biflavonoids

paper · pdf · doi:10.48550/arxiv.1310.0268

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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• Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function

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