CSpace
Source generation of the Davey-Stewartson equation
Hu, Juan1,2; Wang, Hong-Yan3; Tam, Hon-Wah4
2008
Source PublicationJOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
Volume49Issue:1Pages:9
AbstractThe "source generation" procedure (SGP) proposed by Hu and Wang [Inverse Probl. 22, 1903 (2006)] provides a new way to systematically generate so-called soliton equations with self-consistent sources. In this paper, we apply this SGP to a Davey-Stewartson (DS) equation based on the Hirota bilinear form, producing a system of equations which is called the DS equation with self-consistent sources (DSESCS). Meanwhile, we obtain the Gramm-type determinant solutions to the DSESCS. Since the DS equation is a (2+1)-dimensional integrable generalization of the nonlinear Schrodinger (NLS) equation, the DSESCS may be viewed as a (2+1)-dimensional integrable generalization of the nonlinear Schrodinger equation with self-consistent sources. These results indicate the commutativity of source generation procedure and (2+1)-dimensional integrable generalizations for the NLS equation. (c) 2008 American Institute of Physics.
DOI10.1063/1.2830432
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000252821300018
PublisherAMER INST PHYSICS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/5445
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHu, Juan
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
3.Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
4.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Hu, Juan,Wang, Hong-Yan,Tam, Hon-Wah. Source generation of the Davey-Stewartson equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2008,49(1):9.
APA Hu, Juan,Wang, Hong-Yan,&Tam, Hon-Wah.(2008).Source generation of the Davey-Stewartson equation.JOURNAL OF MATHEMATICAL PHYSICS,49(1),9.
MLA Hu, Juan,et al."Source generation of the Davey-Stewartson equation".JOURNAL OF MATHEMATICAL PHYSICS 49.1(2008):9.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Hu, Juan]'s Articles
[Wang, Hong-Yan]'s Articles
[Tam, Hon-Wah]'s Articles
Baidu academic
Similar articles in Baidu academic
[Hu, Juan]'s Articles
[Wang, Hong-Yan]'s Articles
[Tam, Hon-Wah]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Hu, Juan]'s Articles
[Wang, Hong-Yan]'s Articles
[Tam, Hon-Wah]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.