Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation

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	Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation
	Qian, XM ; Lou, SY ; Hu, XB
	2004-10-01
发表期刊	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN	0932-0784
卷号	59 期号:10 页码:645-658
摘要	The multi-linear variable separation approach is applied to a differential-difference asymmetric Nizhnik-Novikov-Veselov equation. It is found that the solution formula ANNV equation is rightly the semi-discrete form of the continuous one which describes some types of special solutions for many (2+1)-dimensional continuous systems. Moreover, it is different but similar to that of a special differential-difference Toda system. Thus abundant semi-discrete localized coherent structures of the ANNV equation are easily constructed by appropriately selecting the arbitrary functions appearing in the final solution formula. A concrete method to construct multiple localized discrete excitations with and without completely elastic interaction properties are discussed. It is found that for some types of bounded solitoff modes, they can exchange solitoffs, move in new different directions, extend the lengths of solitoffs, etc. after finishing their interactions.
关键词	multi-linear variable separation approach differential-difference ANNV equation semi-discrete localized coherent structures
语种	英语
WOS研究方向	Chemistry ; Physics
WOS类目	Chemistry, Physical ; Physics, Multidisciplinary
WOS记录号	WOS:000225221600005
出版者	VERLAG Z NATURFORSCH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19209
专题	中国科学院数学与系统科学研究院
通讯作者	Lou, SY
作者单位	1.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 2.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China 3.Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China 4.Acad Sinica, Acad Math & Syst Sci, 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	Qian, XM,Lou, SY,Hu, XB. Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2004,59(10):645-658.
APA	Qian, XM,Lou, SY,&Hu, XB.(2004).Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,59(10),645-658.
MLA	Qian, XM,et al."Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 59.10(2004):645-658.