| Автор | Xia, Tie-Cheng |
| Автор | You, Fu-Cai |
| Дата выпуска | 2005-11-01 |
| dc.description | A new 3M-dimensional Lie algebra X is constructed firstly. Then, the corresponding loop algebra X̃ is produced, whose commutation operation defined by us is as simple and straightforward as that in the loop algebra Ã<sub>1</sub>. It follows that a general scheme for generating multi-component integrable hierarchy is proposed. By taking advantage of X̃, a new isospectral problem is established, and then well-known multi-component TC hierarchy is obtained. Finally, an expanding loop algebra F̃<sub>M</sub> of the loop algebra X̃ is presented. Based on the F̃<sub>M</sub>, the multi-component integrable coupling system of the generalized multi-component TC hierarchy has been worked out. The method in this paper can be applied to other nonlinear evolution equations hierarchies. It is easy to find that we can construct any finite-dimensional Lie algebra by this approach. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | © 2005 IOP Publishing Ltd |
| Название | Generalized Multi-component TC Hierarchy and Its Multi-component Integrable Coupling SystemThe project supported by National Natural Science Foundation of China under Grant No. 10371070, the Science Foundation of Liuhui Center of Tianjin University and Nankai University, and the Science Foundation of Educational Committee of Liaoning Province of China under Grant No. 2004C057 |
| Тип | paper |
| DOI | 10.1088/6102/44/5/793 |
| Electronic ISSN | 1572-9494 |
| Print ISSN | 0253-6102 |
| Журнал | Communications in Theoretical Physics |
| Том | 44 |
| Первая страница | 793 |
| Последняя страница | 798 |
| Аффилиация | Xia, Tie-Cheng; Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Аффилиация | You, Fu-Cai; Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Выпуск | 5 |
