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.
Received: 03 March 2006
Revised: 22 May 2006
Accepted manuscript online:
PACS:
03.65.Ge
(Solutions of wave equations: bound states)
Cite this article:
Dong Huan-He(董焕河) and Zhang Ning(张宁) The quadratic-form identity for constructing Hamiltonian structures of the Guo hierarchy 2006 Chinese Physics 15 1919
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