The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited

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	The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited
	Tam, HW ; Ma, WX ; Hu, XB ; Wang, DL
	2000
发表期刊	JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN	0031-9015
卷号	69 期号:1 页码:45-52
摘要	The well-known Hirota-Satsuma coupled KdV equation and a coupled Ito system are reviewed. A new type of soliton solutions to these two systems under constant boundary condition at infinity is found. The so-called generalized Hirota-Satsuma coupled KdV system is also considered. Starting from its bilinear forms, we obtain a Backlund transformation and the corresponding nonlinear superposition formulae. As a result. soliton solutions first obtained by Satsuma and Hirota can be rederived, Moreover, rational solutions are also given.
关键词	solitons integrable systems Hirota's method Backlund transformation
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000085999500012
出版者	PHYSICAL SOCIETY 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/15069
专题	中国科学院数学与系统科学研究院
通讯作者	Tam, HW
作者单位	1.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China 2.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Acad Sinica, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tam, HW,Ma, WX,Hu, XB,et al. The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2000,69(1):45-52.
APA	Tam, HW,Ma, WX,Hu, XB,&Wang, DL.(2000).The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,69(1),45-52.
MLA	Tam, HW,et al."The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 69.1(2000):45-52.