A four-component Camassa-Holm type hierarchy

被引：28

作者：

Li, Nianhua ^{[1
]}

Liu, Q. P. ^{[1
]}

Popowicz, Z. ^{[2
]}

机构：

[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[2] Univ Wroclaw, Inst Theoret Phys, PL-50205 Wroclaw, Poland

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 85卷

基金：

中国国家自然科学基金;

关键词：

Peakon; Bi-Hamiltonian structure; Camassa-Holm type equations; Conserved quantities; Lax pair; BI-HAMILTONIAN STRUCTURE; PEAKON SOLUTIONS; EQUATION; WATER;

D O I：

10.1016/j.geomphys.2014.05.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general 3 x 3 spectral problem is proposed and the related flows, which are four-component CH type equations, are constructed. Bi-Hamiltonian structures and infinitely many conserved quantities are worked out for the relevant systems. Different reductions are also considered. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：29 / 39

页数：11

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