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
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom