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

页码：10032 / 10039

页数：8

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