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Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources
Author(s) -
Hongwei Yang,
Huanhe Dong,
B. Yin,
Zhenyu Liu
Publication year - 2012
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2012/272904
Subject(s) - integrable system , hierarchy , nonlinear system , lie algebra , mathematics , algebra over a field , pure mathematics , hamiltonian (control theory) , identity (music) , set (abstract data type) , physics , computer science , quantum mechanics , mathematical optimization , economics , acoustics , market economy , programming language
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

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