An integrable symmetric (2+1)-dimensional Lotka-Volterra equation and a family of its solutions
文献类型：期刊论文
| 作者 | Hu, XB; Li, CX; Nimmo, JJC; Yu, GF |
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
 |
| 出版日期 | 2005-01-07 |
| 卷号 | 38期号:1页码:195-204 |
| ISSN号 | 0305-4470 |
| 英文摘要 | 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 Backlund 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. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000226648800017 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1814]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hu, XB |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China 3.Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland |
| 推荐引用方式 GB/T 7714 | Hu, XB,Li, CX,Nimmo, JJC,et al. An integrable symmetric (2+1)-dimensional Lotka-Volterra equation and a family of its solutions[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2005,38(1):195-204. |
| APA | Hu, XB,Li, CX,Nimmo, JJC,&Yu, GF.(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),195-204. |
| MLA | Hu, XB,et al."An integrable symmetric (2+1)-dimensional Lotka-Volterra equation and a family of its solutions".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 38.1(2005):195-204. |
入库方式： OAI收割
来源：数学与系统科学研究院
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