Nonlocal Symmetries and Conservation Laws of Nonlocal Camassa-Holm Type Equations

被引：1

作者：

Zhenhua SHI ^{[1
]}

Jing KANG ^{[2
]}

Lu YAN ^{[3
]}

机构：

[1] Department of Mathematics,Northwest University

[2] Center for Nonlinear Studies,Northwest University

[3] Xingzhi College,Xi'an University of Finance and Economics

来源：

Acta Mathematicae Applicatae Sinica | 2015年 / 31卷 / 04期

关键词：

Nonlocal symmetry; conservation law; the two-component μ-Camassa-Holm equation; the modified μ-Camassa-Holm equation; the μ-Camassa-Holm equation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The two-component μ-Camassa-Holm equation, the μ-Camassa-Holm equation and the modified μ-Camassa-Holm equation are three nonlocal integrable models. In this paper, it is shown that the two-componentμ-Camassa-Holm equation and the μ-Camassa-Holm equation with a linear dispersion admit a kind of nonlocal symmetries, and the modified μ-Camassa-Holm equation does not have such kind of nonlocal symmetry. An number of conservation laws to the modified μ-Camassa-Holm equation and μ-Camassa-Holm equation are obtained.

引用

页码：909 / 920

页数：12

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