Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation

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	Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation
	Hu, XB ; Clarkson, PA
	1998-02-06
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN	0305-4470
卷号	31 期号:5 页码:1405-1414
摘要	In this paper, a differential-difference KdV equation is considered. We present two Backlund transformations and corresponding nonlinear superposition formulae for it. As an application of the obtained results, N-soliton solutions first obtained by Ohta and Hirota are rederived. Furthermore, a sequence of rational solutions are also obtained. Thus the integrability of the differential-difference KdV equation is further confirmed.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000071991200010
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/13449
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.Acad Sinica, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England
推荐引用方式 GB/T 7714	Hu, XB,Clarkson, PA. Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1998,31(5):1405-1414.
APA	Hu, XB,&Clarkson, PA.(1998).Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,31(5),1405-1414.
MLA	Hu, XB,et al."Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 31.5(1998):1405-1414.