Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources

被引:3
|
作者
Yang, Hongwei [2 ]
Dong, Huanhe [2 ]
Yin, Baoshu [1 ,3 ]
Liu, Zhenyu [4 ]
机构
[1] Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China
[2] Shandong Univ Sci & Technol, Informat Sch, Qingdao 266590, Peoples R China
[3] Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China
[4] Zaozhuang Coll, Dept Math, Zaozhuang 277160, Peoples R China
基金
中国国家自然科学基金;
关键词
LIE-ALGEBRAS; HAMILTONIAN-STRUCTURE; EQUATIONS HIERARCHY; SOLITON-EQUATIONS; IDENTITIES; SYSTEM;
D O I
10.1155/2012/272904
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on a well-known Lie algebra, the multicomponent Guo hierarchy with self-consistent sources is proposed. With the help of a set of non-semisimple Lie algebra, the nonlinear bi-integrable couplings of the multicomponent Guo hierarchy with self-consistent sources are obtained. It enriches the content of the integrable couplings of hierarchies with self-consistent sources. Finally, the Hamiltonian structures are worked out by employing the variational identity.
引用
收藏
页数:14
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