Liouville Integrable System and Associated Integrable Coupling
Liouville Integrable System and Associated Integrable Coupling
摘要
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, integrable couplings of the obtained system is given by means of semi-direct sums of Lie algebras.
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