A solitary hierarchy of an integrable coupling and its Hamiltonian structure

被引:1
作者
Zhang, Yu-Feng [1 ]
Nian, Si-Hong
Fan, En-Gui
机构
[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China
[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[3] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2005.11.108
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A type of higher-dimensional loop algebra, is constructed from which an isospectral problem is established. It follows that an integrable coupling, actually an extended integrable model of the existed solitary hierarchy of equations, is obtained by taking use of the zero curvature equation, whose Hamiltonian structure is worked out by employing the constructed quadratic identity. This method presented in the paper also suits for other soliton equations. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:914 / 918
页数:5
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