| Three New Integrable Hierarchies of Equations |
| |
| 引用本文： | GUO Fu-Kui. Three New Integrable Hierarchies of Equations[J]. 理论物理通讯, 2007, 48(5): 769-772 |
| |
| 作者姓名： | GUO Fu-Kui |
| |
| 作者单位： | Information School, Shandong University of Science and Technology, Qingdao 266510, China |
| |
| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10471139 |
| |
| 摘 要： | ![]()
A general Lie algebra Vs and the corresponding loop algebra Vx are constructed, from which the linear isospectral Lax pairs are established, whose compatibility presents the zero curvature equation. As its application, a new Lax integrable hierarchy containing two parameters is worked out. It is not Liouville-integrable, however, its two reduced systems are Liouville-integrable, whose Hamiltonian structures are derived by making use of the quadratic-form identity and the γ formula （i.e. the computational formula on the constant γ appeared in the trace identity and the quadratic-form identity）.
|
| 关 键 词： | 积分方程式 代数 物理 二次方程式 |
| 修稿时间： | 2006-06-26 |
Three New Integrable Hierarchies of Equations |
| |
| JI Jie,YAO Yu-Qin,LIU Yu-Qing,CHEN Deng-Yuan,. Three New Integrable Hierarchies of Equations[J]. Communications in Theoretical Physics, 2007, 48(5): 769-772 |
| |
| Authors: | JI Jie YAO Yu-Qin LIU Yu-Qing CHEN Deng-Yuan |
| |
| Abstract: | ![]()
|
| |
| Keywords: | Lie algebra Hamiltonian structure quadratic-form identity |
| 本文献已被 维普 等数据库收录！ |
