Source generation of the Davey-Stewartson equation

doi:10.1063/1.2830432

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	Source generation of the Davey-Stewartson equation
	Hu, Juan 1,2; Wang, Hong-Yan 3; Tam, Hon-Wah 4
	2008
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	49 期号:1 页码:9
摘要	The "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.
DOI	10.1063/1.2830432
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000252821300018
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5445
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, Juan
作者单位	1.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
推荐引用方式 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.