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

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Discrete integrable system and its integrable coupling

李柱   

  1. 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)†   

  1. 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

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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)