On a discrete Davey-Stewartson system

doi:10.1088/0266-5611/22/5/009

	On a discrete Davey-Stewartson system
	Gegenhasi ; Hu, Xing-Biao; Levi, Decio
	2006-10-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	22 期号:5 页码:1677-1688
摘要	We propose a differential difference equation in R-1 x Z(2) and study it by Hirota's bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewartson (DS) equation. The solutions of this discrete DS system are characterized by Casorati and Grammian determinants. Based on the bilinear form of this discrete DS system, we construct the bilinear Backlund transformation which enables us to obtain its Lax pair.
DOI	10.1088/0266-5611/22/5/009
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000241021500009
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/2600
专题	计算数学与科学工程计算研究所
通讯作者	Gegenhasi
作者单位	1.Acad Sinica, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China 3.Univ Roma Tre, Dipartimento Ingn Elettron, I-00146 Rome, Italy
推荐引用方式 GB/T 7714	Gegenhasi,Hu, Xing-Biao,Levi, Decio. On a discrete Davey-Stewartson system[J]. INVERSE PROBLEMS,2006,22(5):1677-1688.
APA	Gegenhasi,Hu, Xing-Biao,&Levi, Decio.(2006).On a discrete Davey-Stewartson system.INVERSE PROBLEMS,22(5),1677-1688.
MLA	Gegenhasi,et al."On a discrete Davey-Stewartson system".INVERSE PROBLEMS 22.5(2006):1677-1688.