Discrete integrable system and its integrable coupling

doi:10.1088/1674-1056/18/3/002

中国物理B ›› 2009, Vol. 18 ›› Issue (3): 850-855.doi: 10.1088/1674-1056/18/3/002

Discrete integrable system and its integrable coupling

李柱

College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China

收稿日期:2008-06-05 修回日期:2008-08-05 出版日期:2009-03-20 发布日期:2009-03-20

Discrete integrable system and its integrable coupling

Li Zhu(李柱)^†

College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China

Received:2008-06-05 Revised:2008-08-05 Online:2009-03-20 Published:2009-03-20

摘要/Abstract

摘要： 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.

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.

Key words: isospectral problem, Hamiltonian structure, integrable coupling, semi-direct sums

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems) 02.10.Ud (Linear algebra)

李柱. Discrete integrable system and its integrable coupling[J]. 中国物理B, 2009, 18(3): 850-855.

Li Zhu(李柱). Discrete integrable system and its integrable coupling[J]. Chin. Phys. B, 2009, 18(3): 850-855.

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Discrete integrable system and its integrable coupling

Discrete integrable system and its integrable coupling

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