An Integrable Matrix Camassa-Holm Equation

被引：0
|
作者：
产丽凤 [1 ]
夏保强 [2 ]
周汝光 [2 ]
机构：
[1] Kewen College, Jiangsu Normal University
[2] School of Mathematics and Statistics, Jiangsu Normal University
来源：
Communications in Theoretical Physics | 2019年 / 71卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Camassa-Holm equation; zero-curvature representation; conservation laws; N-Peakon;
D O I：
暂无
中图分类号：
O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
We present an integrable sl(2)-matrix Camassa-Holm(CH) equation.The integrability means that the equation possesses zero-curvature representation and infinitely many conservation laws.This equation includes two undetermined functions,which satisfy a system of constraint conditions and may be reduced to a lot of known multicomponent peakon equations.We find a method to construct constraint condition and thus obtain many novel matrix CH equations.For the trivial reduction matrix CH equation we construct its N-peakon solutions.
引用
收藏
页码：1399 / 1404
页数：6
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