On an integrable modified (2+1)-dimensional Lotka-Volterra equation
文献类型：期刊论文
| 作者 | Li, CX; Nimmo, JJC; Hu, XB |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2005-09-15 |
| 卷号 | 309期号:2页码:686-700 |
| 关键词 | modified (2+1)-dimensional Lotka-Volterra equation self-dual network equation Backlund transformation pfaffian solutions soliton solutions |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2004.11.016 |
| 英文摘要 | 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 (I + I)dimensional self-dual network equation as a reduction. Its bilinear Backlund 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. (C) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000231184700024 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1536]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, CX |
| 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.Abdus Salaam Int Ctr Theoret Phys, I-34014 Trieste, Italy 4.Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland 5.Abdus Salam Int Ctr Theoret Phys, Trieste, Italy |
| 推荐引用方式 GB/T 7714 | Li, CX,Nimmo, JJC,Hu, XB. On an integrable modified (2+1)-dimensional Lotka-Volterra equation[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2005,309(2):686-700. |
| APA | Li, CX,Nimmo, JJC,&Hu, XB.(2005).On an integrable modified (2+1)-dimensional Lotka-Volterra equation.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,309(2),686-700. |
| MLA | Li, CX,et al."On an integrable modified (2+1)-dimensional Lotka-Volterra equation".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 309.2(2005):686-700. |
入库方式： OAI收割
来源：数学与系统科学研究院
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