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

被引：1
|
作者：
Zhen-hua 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：
ActaMathematicaeApplicataeSinica | 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.
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页码：909 / 920
页数：12
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