An integrable symmetric (2+1)-dimensional Lotka-Volterra equation and a family of its solutions

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	An integrable symmetric (2+1)-dimensional Lotka-Volterra equation and a family of its solutions
	Hu, XB ; Li, CX ; Nimmo, JJC ; Yu, GF
	2005-01-07
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN	0305-4470
卷号	38 期号:1 页码:195-204
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.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000226648800017
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1815
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.