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The Double Integrable Couplings of Tu Hierarchy
Authors:FENG Bin-Lu  HAN Bo  WEI Yuan
Institution:1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China ;2. Department of Mathematics and Information, Binzhou University, Binzhou 256600, China
Abstract:Two types of Lie algebras are presented, from which two integrable couplings associated with the Tu isospectral problem are obtained, respectively. One of them possesses the Hamiltonian structure generated by a linear isomorphism and the quadratic-form identity. An approach for working out the double integrable couplings of the same integrable system is presented in the paper.
Keywords:Lie algebra  integrable couplings  isospectral problem  Hamiltonian structure                                                                                                                            
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