On an integrable modified (2+1)-dimensional Lotka-Volterra equation

doi:10.1016/j.jmaa.2004.11.016

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	On an integrable modified (2+1)-dimensional Lotka-Volterra equation
	Li, CX ; Nimmo, JJC ; Hu, XB
	2005-09-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	309 期号:2 页码:686-700
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.
关键词	modified (2+1)-dimensional Lotka-Volterra equation self-dual network equation Backlund transformation pfaffian solutions soliton solutions
DOI	10.1016/j.jmaa.2004.11.016
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000231184700024
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1537
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.