Multi-component generalizations of four integrable differential-difference equations: Soliton solutions and bilinear Backlund transformations

doi:10.1143/JPSJ.73.3275

	Multi-component generalizations of four integrable differential-difference equations: Soliton solutions and bilinear Backlund transformations
	Zhao, JX ; Hu, XB; Hirota, R
	2004-12-01
发表期刊	JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN	0031-9015
卷号	73 期号:12 页码:3275-3284
摘要	Bilinear approach is applied to derive integrable multi-component generalizations of the so-called 1 + 1 dimensional special Toda lattice, the Volterra lattice, a simple differential-difference equation found by Adler, Moser, Weiss, Veselov and Shabat and another integrable lattice reduced from the discrete BKP equation. Their soliton solutions expressed by pfaffians and the corresponding bilinear Backlund transformations are obtained.
关键词	multi-component gereralization phaffian soliton solution bilinear Backlund transformation
DOI	10.1143/JPSJ.73.3275
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000225913500015
出版者	PHYSICAL SOC JAPAN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/657
专题	计算数学与科学工程计算研究所
通讯作者	Zhao, JX
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Waseda Univ, Tokyo 160, Japan 3.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhao, JX,Hu, XB,Hirota, R. Multi-component generalizations of four integrable differential-difference equations: Soliton solutions and bilinear Backlund transformations[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2004,73(12):3275-3284.
APA	Zhao, JX,Hu, XB,&Hirota, R.(2004).Multi-component generalizations of four integrable differential-difference equations: Soliton solutions and bilinear Backlund transformations.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,73(12),3275-3284.
MLA	Zhao, JX,et al."Multi-component generalizations of four integrable differential-difference equations: Soliton solutions and bilinear Backlund transformations".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 73.12(2004):3275-3284.