One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction

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	One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction
其他题名	One variant of a (2+ 1)-dimensional Volterra system and its (1+ 1)-dimensional reduction
	Zhang Yingnan 1; He Yi 2; Tam HonWah 3
	2013
发表期刊	FRONTIERS OF MATHEMATICS IN CHINA
ISSN	1673-3452
卷号	8 期号:5 页码:1085-1097
摘要	A new system is generated from a multi-linear form of a (2+1)-dimensional Volterra system. Though the system is only partially integrable and needs additional conditions to possess two-soliton solutions, its (1+1)-dimensional reduction gives an integrable equation which has been studied via reduction skills. Here, we give this (1+1)-dimensional reduction a simple bilinear form, from which a Backlund transformation is derived and the corresponding nonlinear superposition formula is built.
其他摘要	A new system is generated from a multi-linear form of a (2+1)- dimensional Volterra system. Though the system is only partially integrable and needs additional conditions to possess two-soliton solutions, its (1+1)- dimensional reduction gives an integrable equation which has been studied via reduction skills. Here, we give this (1+1)-dimensional reduction a simple bilinear form, from which a Backlund transformation is derived and the corresponding nonlinear superposition formula is built.
关键词	SOLITON-SOLUTIONS EQUATIONS LATTICE Integrability soliton solution Backlund transformation (BT) nonlinear superposition formula
收录类别	CSCD
语种	英语
资助项目	[K. C. Wong Education Foundation, Hong Kong] ; [National Natural Science Foundation of China] ; [China Postdoctoral Science Foundation] ; [Hong Kong Research Grant Council]
CSCD记录号	CSCD:4932577
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54316
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院大学 2.中国科学院数学与系统科学研究院 3.中国科学院 4.香港浸会大学
推荐引用方式 GB/T 7714	Zhang Yingnan,He Yi,Tam HonWah. One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction[J]. FRONTIERS OF MATHEMATICS IN CHINA,2013,8(5):1085-1097.
APA	Zhang Yingnan,He Yi,&Tam HonWah.(2013).One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction.FRONTIERS OF MATHEMATICS IN CHINA,8(5),1085-1097.
MLA	Zhang Yingnan,et al."One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction".FRONTIERS OF MATHEMATICS IN CHINA 8.5(2013):1085-1097.