Some reductions from a Lax integrable system and their Hamiltonian structures

被引：10
|
作者：
Wang, Xinzeng [1 ]
Dong, Huanhe [1 ,2 ]
Li, Yuxia [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China
[2] Key Lab Robot & Intelligent Technol Shandong Prov, Qingdao 266510, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 20期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian structure; Integrable coupling; Quadratic-form identity; HIERARCHY; IDENTITY;
D O I：
10.1016/j.amc.2012.03.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Lie algebra is constructed and an isospectral problem with eight potentials is designed. From which, corresponding hierarchy of nonlinear evolution equation is derived and the integrable couplings of AKNS, D-AKNS, TD, Levi, Li, Ma and Fan hierarchies are deduced, and they are integrable in sense of Liouville. For each reduction case the relevant Hamiltonian structure is established by means of quadratic-form identity. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：10032 / 10039
页数：8
相关论文
共 50 条
12345