The Nizhnik-Veselov-Novikov equation with self-consistent sources

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	The Nizhnik-Veselov-Novikov equation with self-consistent sources
	Wang, Hong-Yan 1,2,3
	2008-10-01
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	157 期号:1 页码:1474-1483
摘要	We construct the coupled generalization of the Nizhnik-Veselov-Novikov (NVN) equation, i.e., the NVN equation with self-consistent sources (ESCS) and solve it using the so-called source generation procedure. We obtain BKP-type and DKP-type Pfaffian solutions of the NVN ESCS. In addition, we give a bilinear Backlund transformation and a Lax pair for the NVN ESCS. Furthermore, this Lax pair can be reduced to a Lax pair for the NVN equation.
关键词	Nizhnik-Veselov-Novikov equation self-consistent source "source generation" procedure Backlund transformation Lax pair
语种	英语
资助项目	National Natural Science Foundation of China[10471139] ; Chinese Academy of Sciences President ; Institute of Computational Mathematics, AMSS ; Renmin University of China[30207113]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000260620100009
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5572
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Hong-Yan
作者单位	1.Renmin Univ China, Sch Informat, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, Beijing, Peoples R China 3.Chinese Acad Sci, Grad Univ, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wang, Hong-Yan. The Nizhnik-Veselov-Novikov equation with self-consistent sources[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2008,157(1):1474-1483.
APA	Wang, Hong-Yan.(2008).The Nizhnik-Veselov-Novikov equation with self-consistent sources.THEORETICAL AND MATHEMATICAL PHYSICS,157(1),1474-1483.
MLA	Wang, Hong-Yan."The Nizhnik-Veselov-Novikov equation with self-consistent sources".THEORETICAL AND MATHEMATICAL PHYSICS 157.1(2008):1474-1483.