中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1919-1926.doi: 10.1088/1009-1963/15/9/003

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The quadratic-form identity for constructing Hamiltonian structures of the Guo hierarchy

董焕河, 张　宁   

  1. College of Information Science and Engineering,Shandong University of Science and Technology, Qingdao 266510, China
  • 收稿日期:2006-03-03 修回日期:2006-05-22 出版日期:2006-09-20 发布日期:2006-09-20

The quadratic-form identity for constructing Hamiltonian structures of the Guo hierarchy

Dong Huan-He(董焕河)† and Zhang Ning(张宁)   

  1. College of Information Science and Engineering,Shandong University of Science and Technology, Qingdao 266510, China
  • Received:2006-03-03 Revised:2006-05-22 Online:2006-09-20 Published:2006-09-20

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摘要： The trace identity is extended to the quadratic-form identity. The Hamiltonian structures of the multi-component Guo hierarchy, integrable coupling of Guo hierarchy and (2+1)-dimensional Guo hierarchy are obtained by the quadratic-form identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.

关键词: Hamiltonian structure, Guo's hierarchy, quadratic-form identity

Abstract: The trace identity is extended to the quadratic-form identity. The Hamiltonian structures of the multi-component Guo hierarchy, integrable coupling of Guo hierarchy and (2+1)-dimensional Guo hierarchy are obtained by the quadratic-form identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.

Key words: Hamiltonian structure, Guo's hierarchy, quadratic-form identity

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge