| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9502819 | Journal of Mathematical Analysis and Applications | 2005 | 15 Pages |
Abstract
In this paper, an integrable (2+1)-dimensional modified Lotka-Volterra equation is considered. This is a semi-discrete system, having discrete space and continuous time which has a known (1+1)-dimensional self-dual network equation as a reduction. Its bilinear Bäcklund transformation and Lax pair are also presented and explicit solutions including soliton solutions expressed in terms of pfaffians are obtained. Finally, the reduction of these solutions to (1+1) dimensions is considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chun-Xia Li, Jonathan J.C. Nimmo, Xing-Biao Hu, Gegenhasi Gegenhasi,