Discrete integrable system and its 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: | This paper derives new discrete integrable system based on discrete
isospectral problem. It shows that the hierarchy is completely
integrable in the Liouville sense and possesses bi-Hamiltonian
structure. Finally, integrable couplings 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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