Lie symmetries of soliton equations with self-consistent sources via source generation procedure

doi:10.1016/j.jmaa.2009.03.070

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	Lie symmetries of soliton equations with self-consistent sources via source generation procedure
	Hu, Juan 1,2; Qian, Xian-Min 3; Tam, Hon-Wah 4
	2009-09-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	357 期号:1 页码:201-213
摘要	In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent Sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS. and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras. (C) 2009 Elsevier Inc. All rights reserved.
关键词	KP equation Sawada-Kotera (SK) equation Differential-difference KP equation Lie symmetries Self-consistent sources Source generation procedure
DOI	10.1016/j.jmaa.2009.03.070
语种	英语
资助项目	National Natural Science Foundation of China[10771207] ; Institute of Computational Math. ; AMSS ; Hong Kong Baptist University[FRG/07-08/1-54]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000266507400020
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8824
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, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China 3.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, 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,Qian, Xian-Min,Tam, Hon-Wah. Lie symmetries of soliton equations with self-consistent sources via source generation procedure[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2009,357(1):201-213.
APA	Hu, Juan,Qian, Xian-Min,&Tam, Hon-Wah.(2009).Lie symmetries of soliton equations with self-consistent sources via source generation procedure.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,357(1),201-213.
MLA	Hu, Juan,et al."Lie symmetries of soliton equations with self-consistent sources via source generation procedure".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 357.1(2009):201-213.