Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy

被引：25
作者：
Zhang, Yufeng [1 ]
Guo, Fukui
机构：
[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China
[2] Shandong Univ Sci & Technol, Informat Sch, Qingdao 266510, Huangdao, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 34卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2006.03.061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two types of Lie algebras, which are the subalgebras of the Lie algebra A(2), A(3) respectively, are presented. The resulting loop algebras are following. As their applications, two different integrable couplings of the Yang hierarchy are obtained, called them the double integrable couplings. The Hamiltonian structure of one of them is worked out by a proper linear isomorphic transformation and the quadratic-form identity. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：490 / 495
页数：6
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