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The Nizhnik-Veselov-Novikov equation with self-consistent sources
Wang, Hong-Yan1,2,3
2008-10-01
Source PublicationTHEORETICAL AND MATHEMATICAL PHYSICS
ISSN0040-5779
Volume157Issue:1Pages:1474-1483
AbstractWe 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.
KeywordNizhnik-Veselov-Novikov equation self-consistent source "source generation" procedure Backlund transformation Lax pair
Language英语
Funding ProjectNational Natural Science Foundation of China[10471139] ; Chinese Academy of Sciences President ; Institute of Computational Mathematics, AMSS ; Renmin University of China[30207113]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000260620100009
PublisherMAIK NAUKA/INTERPERIODICA/SPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/5572
Collection中国科学院数学与系统科学研究院
Corresponding AuthorWang, Hong-Yan
Affiliation1.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
Recommended Citation
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.
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