Multi-component generalization of the Camassa-Holm equation

JOURNAL OF GEOMETRY AND PHYSICS

卷:107

Article

Xia, Baoqiang¹  Qiao, Zhijun² 

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

[2] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78541 USA

关键词: Peakon;    Camassa-Holm equation;    Lax pair;    Bi-Hamiltonian structure;   

DOI  :  10.1016/j.geomphys.2016.04.020

来源: Elsevier

【 摘 要 】

In this paper, we propose a multi-component system of the 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 N = 2 and derive the bi-Hamiltonian structures and peaked soliton (peakon) solutions for some examples. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free