A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs

doi:10.1143/JPSJ.72.265

	A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs
	Tam, HW ; Hu, XB
	2003-02-01
发表期刊	JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN	0031-9015
卷号	72 期号:2 页码:265-272
摘要	In this paper, a special integrable differential-difference equation and its related systems are studied. First of all, by using dependent variable transformations, this special lattice is transformed into two bilinear forms. As a result, the corresponding soliton solutions are obtained. A coupled set of bilinear equations is proposed and related to the same special lattice in a certain way. We also derive the t-flow and z-flow of the coupled bilinear equations. Lax pairs for the t-flow and the z-flow are given. Furthermore, a bilinear Backlund transformation and the corresponding nonlinear superposition formula for the coupled bilinear equations are presented. Soliton solutions to the coupled bilinear equations are derived.
关键词	integrable lattices soliton solutions Lax pairs
DOI	10.1143/JPSJ.72.265
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000181068200016
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/18380
专题	计算数学与科学工程计算研究所
通讯作者	Tam, HW
作者单位	1.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tam, HW,Hu, XB. A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2003,72(2):265-272.
APA	Tam, HW,&Hu, XB.(2003).A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,72(2),265-272.
MLA	Tam, HW,et al."A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 72.2(2003):265-272.