| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10733191 | Chaos, Solitons & Fractals | 2005 | 9 Pages |
Abstract
An extension of Lie algebra Anâ1 was proposed [Phys. Lett. A 310 (2003) 19, J. Math. Phys. 26 (1985) 1189]. Based on that extension, we presented two new Lie algebras. Meanwhile we obtained the corresponding hierarchies of evolution equations and it was shown that the corresponding hierarchies of evolution equations were integrable in Liouville sense. Finally we found integrable couplings of the second equations hierarchy based on a new loop algebra Gâ¼ which was different from A2â¼ in Refs. [Chaos, Solitons & Fractals 7 (1996) 1227, Phys. Lett. A 310 (2003) 19].
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Tiecheng Xia, Xiaohong Chen, Dengyuan Chen,