The Liouville integrable coupling system of the m-AKNS hierarchy and its Hamiltonian structure

被引：0
|
作者：
Yue Chao [1 ]
Yang Geng-Wen
Xu Yue-Cai
机构：
[1] Taishan Med Univ, Sch Informat Engn, Tai An 271016, Peoples R China
[2] Luoyang Univ, Editorial Dept, Luoyang 471023, Peoples R China
[3] Shandong Univ Sci & Technol, Sch Adult Educ, Tai An 271000, Peoples R China
来源：
CHINESE PHYSICS | 2007年 / 16卷 / 03期
关键词：
loop algebra; integrable coupling; Hamiltonian structure; quadratic identity;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper a type of 9-dimensional vector loop algebra (F) over tilde F is constructed, which is devoted to establish an isospectral problem. It follows that a Liouville integrable coupling system of the m-AKNS hierarchy is obtained by employing the Tu scheme, whose Hamiltonian structure is worked out by making use of constructed quadratic identity. The method given in the paper can be used to obtain many other integrable couplings and their Hamiltonian structures.
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页码：595 / 598
页数：4
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