| A Multi-component Matrix Loop Algebra and Its Application |
| |
| 作者姓名： | DONG Huan-He ZHANG Ning |
| |
| 作者单位： | Information School, Shandong University of Science and Technology, Qingdao 266510, China |
| |
| 摘 要： |
|
| 关 键 词： | Liouville可积 三次Hamiltonian结构 环代数 环论 多分量矩阵 |
| 收稿时间： | 2005-04-08 |
| 修稿时间： | 2005-04-082005-07-05 |
A Multi-component Matrix Loop Algebra and Its Application |
| |
| DONG Huan-He ZHANG Ning.A Multi-component Matrix Loop Algebra and Its Application[J].Communications in Theoretical Physics,2005,44(6):997-1001. |
| |
| Authors: | DONG;Huan-He;ZHANG;Ning |
| |
| Abstract: | A set of multi-component matrix Lie algebra is constructed. It follows that a type of new loop algebra A^- M-1 is presented. An isospectral problem is established. Integrable multi-component hierarchy is obtained by Tu pattern, which possesses tri-Hamiltonian structures. Furthermore, it can be reduced to the well-known AKNS hierarchy and BPT hierarchy. Therefore, the major result of this paper can be regarded as a unified expression integrable model of the AKNS hierarchy and the BPT hierarchy. |
| |
| Keywords: | Liouville integrable tri-Hamiltonian structures Loop algebra |
| 本文献已被 维普 等数据库收录！ |
