Liouville Integrable System and Associated Integrable Coupling |
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| Authors: | LI Zhu |
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| Institution: | College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China |
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| Abstract: | Liouville integrable discrete integrable system is derived based on discrete isospectral problem. It is shown that the hierarchy is completely integrable in the Liouville sense and possesses bi-Hamiltonian structure. Finally, integrablecouplings of the obtained system is given by means of semi-direct sums of Lie algebras. |
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| Keywords: | isospectral problem Hamiltonian structure integrable coupling semi-direct sums |
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