A New Lie Algebra and Its Related Liouville Integrable Hierarchies |
| |
| Authors: | WANG Hui WANG Xin-Zeng LIU Guo-Dong YANG Ji-Ming |
| |
| Institution: | 1.Department of Mathematics, Shanghai University, Shanghai 200444, China
;2.College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China |
| |
| Abstract: | A new Lie algebra G and its two types of loop algebras \tilde{G1} and \tilde{G2} are constructed. Basing on \tilde{G1} and \tilde{G2}, two different isospectral problems are designed, furthermore, two Liouville integrable soliton hierarchies are obtained respectively under the framework of zero curvature equation, which is derived from the compatibility of the isospectral problems expressed by Hirota operators. At the same time, we obtain the Hamiltonian structure of the first hierarchy and the bi-Hamiltonian structure of the second one with the help of the quadratic-form identity. |
| |
| Keywords: | Lie algebra Liouville integrable hierarchy Hirota operator Quadratic-form identity |
|
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|
