青岛大学学报（自然科学版）2017，Vol.30Issue(2)：4-8,5.DOI:10.3969/j.issn.1006-1037.2017.05.02
扩展的Dirac族及其可积耦合
A Generalized Dirac Soliton Hierarchy and Its Integrable Couplings
摘要
Abstract
The integrable coupling of the integrable system has greatly enriched the theory of integrable systems, which has become a hot issue in the research.Based on an extended Dirac integrable hierarchy with Bi-Hamiltonian structures, a special class of non-semisimple matrix Loop algebras is introduced by using the theory of Lie algebra and semi-direct sums decomposition.By using the variational equation, it is proved that the integrable coupling system has Hamiltonian structure.关键词
Loop代数/可积方程族/双Hamilton结构/可积耦合Key words
Loop algebra/integrable equations/bi-Hamiltonian structure/integrable couplings分类
数理科学引用本文复制引用
关雪,朱宏伟,张辉群..扩展的Dirac族及其可积耦合[J].青岛大学学报（自然科学版）,2017,30(2):4-8,5.基金项目
山东省自然科学基金(批准号:ZR2015FM023)资助. （批准号:ZR2015FM023）
