Double Integrable Couplings and Their Constructing Method |
| |
Authors: | GUO Fu-Kui and ZHANG Yu-Feng |
| |
Affiliation: | 1.Information School, Shandong University of Science and Technology,; Qingdao 266510, China;2.College of Science, China University of Mining and Technology,; Xuzhou 221116, China |
| |
Abstract: | To extend the study scopes of integrable couplings, the notion of double integrable couplings is proposed in the paper. The zero curvature equation appearing in the constructing method built in the paper consists of the elements of a new loop algebra which is obtained by using perturbation method. Therefore, the approach given in the paper has extensive applicablevalues, that is, it applies to investigate a lot of double integrable couplings of the known integrable hierarchies of evolution equations. As for explicit applications of the method proposed in the paper, the double integrable couplings of the AKNS hierarchy and the KN hierarchy are worked out, respectively. |
| |
Keywords: | double integrable coupling Lie algebra loop algebra |
本文献已被 维普 等数据库收录! |
| 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》下载全文 |
|