A Backlund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy

	A Backlund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy
	Hu, XB; Springael, J
	2002-07-01
发表期刊	ANZIAM JOURNAL
ISSN	1446-1811
卷号	44 页码:121-128
摘要	A hierarchy of bilinear Lotka-Volterra equations with a unified structure is proposed. The bilinear Backlund transformation for this hierarchy and the corresponding canonical Lax pair are obtained. Furthermore, the nonlinear superposition formula is proved rigorously.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000177234800014
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17833
专题	计算数学与科学工程计算研究所
通讯作者	Hu, XB
作者单位	1.Acad Sinica, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Free Univ Brussels, Dienst Theoret Natuurkunde, B-1050 Brussels, Belgium
推荐引用方式 GB/T 7714	Hu, XB,Springael, J. A Backlund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy[J]. ANZIAM JOURNAL,2002,44:121-128.
APA	Hu, XB,&Springael, J.(2002).A Backlund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy.ANZIAM JOURNAL,44,121-128.
MLA	Hu, XB,et al."A Backlund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy".ANZIAM JOURNAL 44(2002):121-128.