Hu, X.B., Li, C.X., Nimmo, J.J.C. and Yu, G.F. (2005) An integrable symmetric (2+1)-dimensional Lotka-Volterra equation and a family of its solutions. Journal of Physics A: Mathematical and General, 38(1), pp. 195-204.
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Publisher's URL: http://dx.doi.org/10.1088/0305-4470/38/1/014
Abstract
A symmetric (2+1)-dimensional Lotka–Volterra equation is proposed. By means of a dependent variable transformation, the equation is firstly transformed into multilinear form and further decoupled into bilinear form by introducing auxiliary independent variables. A bilinear Bäcklund transformation is found and then the corresponding Lax pair is derived. Explicit solutions expressed in terms of pfaffian solutions of the bilinear form of the symmetric (2+1)-dimensional Lotka–Volterra equation are given. As a special case of the pfaffian solutions, we obtain soliton solutions and dromions.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Nimmo, Dr Jonathan |
| Authors: | Hu, X.B., Li, C.X., Nimmo, J.J.C., and Yu, G.F. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Physics A: Mathematical and General |
| Publisher: | Institute of Physics Publishing Ltd. |
| ISSN: | 0305-4470 |
| Published Online: | 08 December 2004 |
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