一族多分量的刘维尔可积系及其可积耦合  

A Multi-Component Liouville Integrable System and its Integrable Couplings

作　　者：李柱[1] 

机构地区：[1]信阳师范学院数学学院,河南信阳464000

出　　处：《泰山学院学报》2012年第3期22-34,共13页Journal of Taishan University

摘　　要：本文首先利用向量loop代数得到了一族多分量的刘维尔可积系,然后由G珘3的扩展loop代数G珘6得到了所得可积系的可积耦合,最后利用变分迹恒等式分别得到了其三哈密顿结构.Multi -component integrable system is obtained by the vector loop algebra 63. Further, using expanding vector loop algebra G6 the integrable couplings of the above system is worked out. Finally, the tri - Hamiltonian structure of the obtained system is presented by the quadratic - form identity.

关 键 词：圈代数 可积系统 可积耦合 变分迹恒等式 哈密顿结构 

分 类 号：O175[理学—数学]