| A subalgebra of loop algebra A2^～ and its applications |
| |
| 引用本文： | 张玉峰,谭汉华,郭福奎.A subalgebra of loop algebra A2^～ and its applications[J].中国物理 B,2004,13(2):132-138. |
| |
| 作者姓名： | 张玉峰 谭汉华 郭福奎 |
| |
| 作者单位： | Institute of Mathematics, Information School, Shandong University of Science and Technology, Taian 271019, China;Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China;Institute of Mathematics, Information School, Shandong University of Science and Technology, Taian 271019, China |
| |
| 摘 要： | A subalgebra of loop algebra A2^～ and its expanding loop algebra G^- are constructed. It follows that both resulting integrable Hamiltonian hierarchies are obtained. As a reduction case of the first hierarchy, a generalized nonlinear coupled Schroedinger equation, the standard heat-conduction and a formalism of the well known Ablowitz, Kaup, Newell and Segur hierarchy are given, respectively. As a reduction case of the second hierarchy, the nonlinear Schroedinger and modified Korteweg de Vries hierarchy and a new integrable system are presented. Especially, a coupled generalized Burgers equation is generated.
|
| 关 键 词： | 回路代数 哈密顿结构 可积体系 薛定谔方程 数学物理方法 |
| 收稿时间： | 2003-05-30 |
A subalgebra of loop algebra ?2 and its applications |
| |
| Zhang Yu-Feng,Tam Hon-Wah and Guo Fu-Kui.A subalgebra of loop algebra ?2 and its applications[J].Chinese Physics B,2004,13(2):132-138. |
| |
| Authors: | Zhang Yu-Feng Tam Hon-Wah and Guo Fu-Kui |
| |
| Institution: | Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China; Institute of Mathematics, Information School, Shandong University of Science and Technology, Taian 271019, China |
| |
| Abstract: | A subalgebra of loop algebra ?_2 and its expanding loop algebra \overline{G} are constructed. It follows that both resulting integrable Hamiltonian hierarchies are obtained. As a reduction case of the first hierarchy, a generalized nonlinear coupled Schr?dinger equation, the standard heat-conduction and a formalism of the well known Ablowitz, Kaup, Newell and Segur hierarchy are given, respectively. As a reduction case of the second hierarchy, the nonlinear Schr?dinger and modified Korteweg de Vries hierarchy and a new integrable system are presented. Especially, a coupled generalized Burgers equation is generated. |
| |
| Keywords: | loop algebra integrable hierarchy Hamiltonian structure |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|
