Lie Algebras and Integrable Systems |
| |
| Authors: | ZHANG Yu-Feng MEI Jian-Qin |
| |
| Institution: | 1. College of Sciences, China University of Mining and Technology, Xuzhou 221116, China;
2. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | A 3? 3 matrix Lie algebra is first introduced, its subalgebras and the generated Lie algebras are obtained, respectively. Applications of a few Lie subalgebras give rise to two integrable nonlinear hierarchies of evolution equations from their reductions we obtain the nonlinear Schrödinger equations, the mKdV equations, the Broer-Kaup (BK) equation and its generalized equation, etc. The linear and nonlinear integrable couplings of one integrable hierarchy presented in the paper are worked out by casting a 3? 3 Lie subalgebra into a 2? 2 matrix Lie algebra. Finally, we discuss the elliptic variable solutions of a generalized BK equation. |
| |
| Keywords: | Lie algebra integrable system elliptic variable solution |
|
| 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 |
|
