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An integrable Hamiltonian hierarchy and associated integrable couplings system
Authors:Chen Xiao-Hong  Xia Tie-Cheng and Zhu Lian-Cheng
Institution:School of Science, University of Science and Technology Liaoning, Liaoning 114044, China; Department of Mathematics, Shanghai University, Shanghai 200444, China; School of Electronic and Information Engineering, University of Science and Technology Liaoning, Liaoning 114044, China
Abstract:This paper establishes a new isospectral problem. By making use of the Tu scheme, a new integrable system is obtained. It gives integrable couplings of the system obtained. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.
Keywords:Keywords:\normalsize\ integrable system  Hamiltonian structure  loop algebra
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