Liouville Integrable System and Associated Integrable Coupling

LI Zhu

Communications in Theoretical Physics ›› 2009, Vol. 52 ›› Issue (06) : 987-991.

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Communications in Theoretical Physics ›› 2009, Vol. 52 ›› Issue (06) : 987-991.

Liouville Integrable System and Associated Integrable Coupling

  • LI Zhu
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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, integrable
couplings of the obtained system is given by means of semi-direct sums of Lie algebras.

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isospectral problem / Hamiltonian structure / integrable coupling / semi-direct sums

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LI Zhu . Liouville Integrable System and Associated Integrable Coupling[J]. Communications in Theoretical Physics, 2009, 52(06): 987-991
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