中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2493-2497.doi: 10.1088/1009-1963/16/9/001

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An integrable Hamiltonian hierarchy and associated integrable couplings system

夏铁成1, 朱连成2, 陈晓红3   

  1. (1)Department of Mathematics, Shanghai University, Shanghai 200444, China; (2)School of Electronic and Information Engineering, University of Science and Technology Liaoning, Liaoning 114044, China; (3)School of Science, University of Science and Technology Liaoning, Liaoning 114044, China
  • 收稿日期:2006-11-28 修回日期:2006-12-29 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~10371070), the Special Funds for Major Specialities of Shanghai Educational Committee and Science Foundation of Educational Committee of Liaoning Province of China (Grant No~2004C057).

An integrable Hamiltonian hierarchy and associated integrable couplings system

Chen Xiao-Hong(陈晓红)a)†, Xia Tie-Cheng(夏铁成)b), and Zhu Lian-Cheng(朱连成)c)   

  1. a School of Science, University of Science and Technology Liaoning, Liaoning 114044, China; b Department of Mathematics, Shanghai University, Shanghai 200444, China; c School of Electronic and Information Engineering, University of Science and Technology Liaoning, Liaoning 114044, China
  • Received:2006-11-28 Revised:2006-12-29 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~10371070), the Special Funds for Major Specialities of Shanghai Educational Committee and Science Foundation of Educational Committee of Liaoning Province of China (Grant No~2004C057).

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摘要： This paper establishes a new isospectral problem. By making use of the Tu scheme, a new integrable system is obtained. It gives integrable couplings of the system obtained. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.

关键词: Keywords:\normalsize\ integrable system, Hamiltonian structure, loop algebra

Abstract: This paper establishes a new isospectral problem. By making use of the Tu scheme, a new integrable system is obtained. It gives integrable couplings of the system obtained. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.

Key words: Keywords: integrable system, Hamiltonian structure, loop algebra

中图分类号:  (Integrable systems)

  • 02.30.Ik
02.10.-v (Logic, set theory, and algebra) 05.45.Yv (Solitons)