Dirac 孤子族的三可积耦合及其双Hamiltonian 结构

doi:10.3969/j.issn.1007-2861.2015.04.022

上海大学学报(自然科学版) ›› 2017, Vol. 23 ›› Issue (2): 257-266.doi: 10.3969/j.issn.1007-2861.2015.04.022

Dirac 孤子族的三可积耦合及其双Hamiltonian 结构

李倩^1,2, 夏铁成¹

1. 上海大学理学院, 上海 200444;
2. 郑州航空工业管理学院理学院, 郑州 450005

收稿日期:2015-10-26 出版日期:2017-04-30 发布日期:2017-04-30
通讯作者: 夏铁成(1960—), 男, 教授, 博士生导师, 研究方向为孤子与可积系统. E-mail: xiatc@shu.edu.cn
作者简介:夏铁成(1960—), 男, 教授, 博士生导师, 研究方向为孤子与可积系统. E-mail: xiatc@shu.edu.cn
基金资助:
国家自然科学基金资助项目(11271008, 61640315); 河南省高等学校重点科研资助项目(17A120006)

Tri-integrable couplings of Dirac hierarchy and its bi-Hamiltonian structure

LI Qian^1,2, XIA Tiecheng¹

1. College of Sciences, Shanghai University, Shanghai 200444, China;
2. College of Sciences, Zhengzhou University of Aeronautics, Zhengzhou 450005, China

Received:2015-10-26 Online:2017-04-30 Published:2017-04-30

摘要/Abstract

摘要：

基于扩大的零曲率方程和矩阵李代数的半直和, 得到了Dirac孤子族的三可积耦合, 并借助变分恒等式得到了三可积耦合的双Hamiltonian 结构.

关键词: 三可积耦合, 双Hamiltonian 结构, Dirac 孤子族

Abstract:

Tri-integrable couplings of Dirac hierarchy are obtained based on the enlarged zero curvature equation from semi-direct sums of Lie algebras. Its bi-Hamiltonian structures are then established with variational identity.

Key words: bi-Hamiltonian structure, tri-integrable couplings, Dirac hierarchy

李倩1,2, 夏铁成1. Dirac 孤子族的三可积耦合及其双Hamiltonian 结构[J]. 上海大学学报(自然科学版), 2017, 23(2): 257-266.

LI Qian1,2, XIA Tiecheng1. Tri-integrable couplings of Dirac hierarchy and its bi-Hamiltonian structure[J]. Journal of Shanghai University（Natural Science Edition）, 2017, 23(2): 257-266.

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Dirac 孤子族的三可积耦合及其双Hamiltonian 结构

Tri-integrable couplings of Dirac hierarchy and its bi-Hamiltonian structure

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