Nonlocal Symmetries and Geometric Integrability of Multi-Component Camassa-Holm and Hunter-Saxton Systems

被引：7

作者：

Yan Lu ^{[1
]}

Song Jun-Feng ^{[1
,2
]}

Qu Chang-Zheng ^{[1
]}

机构：

[1] NW Univ Xian, Dept Math, Xian 710069, Peoples R China

[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2011年 / 28卷 / 05期

基金：

中国国家自然科学基金;

关键词：

GEODESIC-FLOW; EQUATION;

D O I：

10.1088/0256-307X/28/5/050204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the multi-component Hunter-Saxton and mu-Camassa-Holm systems. It is shown that the multicomponent Camassa-Holm, Hunter-Saxton and mu-Camassa-Holm systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws can be directly constructed. For the three-component Camassa-Holm and Hunter-Saxton systems, their nonlocal symmetries depending on the pseudo-potentials are obtained.

引用

页数：4

共 23 条

[1] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].