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Matrix Lie Algebras and Integrable Couplings
Authors:ZHANG Yu-Feng GUO Fu-Kui
Institution:Mathematical School,Liaoning Normal University,Dalian,116029,China Information School,Shandong University of Science and Technology,Qingdao,266510,China
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.
Keywords:Lie algebra  integrable couplings  GJ hierarchy
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