On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

doi:10.1016/j.na.2008.02.037

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	On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources
	Sun, Ye-Peng 1; Tam, Hon-Wah 2
	2009-02-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	70 期号:4 页码:1610-1619
摘要	A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS. (C) 2008 Elsevier Ltd. All rights reserved.
关键词	Source generation procedure Non-isospectral KP equation Grammian determinant solution Pfaffianization Self-consistent sources
DOI	10.1016/j.na.2008.02.037
语种	英语
资助项目	Postdoctoral Science Foundation of China ; National Natural Science Foundation of China[10771207] ; Hong Kong Research Grant Council[HKBU 202007]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000262888300012
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7998
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Ye-Peng
作者单位	1.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Sun, Ye-Peng,Tam, Hon-Wah. On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2009,70(4):1610-1619.
APA	Sun, Ye-Peng,&Tam, Hon-Wah.(2009).On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,70(4),1610-1619.
MLA	Sun, Ye-Peng,et al."On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 70.4(2009):1610-1619.