A hybrid type of soliton equations with self-consistent sources: KP and Toda cases

doi:10.1016/j.jmaa.2010.12.010

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	A hybrid type of soliton equations with self-consistent sources: KP and Toda cases
	Wang, Hong-Yan 1; Hu, Xing-Biao 2
	2011-04-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	376 期号:2 页码:393-406
摘要	Source generation procedure is applied to construct a hybrid type of soliton equations with self-consistent sources (SESCSs). The examples include the KP equation with self-consistent sources (KPESCS) and two-dimensional TodaESCS. One typical feature for this hybrid type of SESCSs is that soliton solutions of these new systems contain arbitrary functions of a linear combination of two independent variables, which is different from the normal SESCSs where soliton solutions only contain arbitrary functions of one independent variable. What's more, the obtained two hybrid SESCSs can be reduced to two different simpler SESCSs respectively. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Hybrid type Soliton equations with self-consistent sources Source generation procedure KP and two-dimensional Toda equations
DOI	10.1016/j.jmaa.2010.12.010
语种	英语
资助项目	National Natural Science Foundation of China[11026119] ; National Natural Science Foundation of China[10771207] ; Institute of Computational Math., AMSS, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000286350600002
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/11378
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Hong-Yan
作者单位	1.Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Hong-Yan,Hu, Xing-Biao. A hybrid type of soliton equations with self-consistent sources: KP and Toda cases[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2011,376(2):393-406.
APA	Wang, Hong-Yan,&Hu, Xing-Biao.(2011).A hybrid type of soliton equations with self-consistent sources: KP and Toda cases.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,376(2),393-406.
MLA	Wang, Hong-Yan,et al."A hybrid type of soliton equations with self-consistent sources: KP and Toda cases".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 376.2(2011):393-406.