Matrix Lie Algebras and Integrable Couplings |
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| Authors: | ZHANG Yu-Feng and GUO Fu-Kui |
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| Institution: | 1. Mathematical School, Liaoning Normal University, Dalian 116029, China
;2. Information School, Shandong University of Science and
Technology, Qingdao 266510, China |
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| Abstract: | Three kinds of higher-dimensional Lie algebras are given which can be used to directly construct integrable couplings of the soliton integrable systems. The relations between the Lie algebras are discussed. Finally, the integrable couplings and the Hamiltonian structure of Giachetti-Johnson hierarchy and a new integrable system are obtained, respectively. |
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| Keywords: | Lie algebra integrable couplings GJ hierarchy |
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