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
收藏
页码：29 / 39
页数：11
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