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	On coupled KdV equations with self-consistent sources
	Huang Ye-Hui ; Wu Hong-Xia ; Xie Xi ; Zeng Yun-Bo
	2010-05-06 ; 2010-05-06
关键词	coupled KdV equation with self-consistent sources generalized binary Darboux transformation positon negaton complexiton NONLINEAR INTEGRABLE SYSTEMS DARBOUX TRANSFORMATIONS COMPLEXITON SOLUTIONS POSITON SOLUTIONS MKDV HIERARCHY SOLITARY WAVES SOLITONS KORTEWEG NEGATON Physics, Multidisciplinary
中文摘要	The coupled Korteweg-de Vries (CKdV) equation with self-consistent sources (CKdVESCS) and its Lax representation are derived. We present a generalized binary Darboux transformation (GBDT) with an arbitrary time-dependent function for the CKdVESCS as well as the formula for the N-times repeated GBDT. This GBDT provides non-anto-Backlund transformation between two CKdVESCSs with different degrees of sources and enables us to construct more general solutions with N arbitrary t-dependent functions. We obtain positon, negaton, complexiton, and negaton-positon solutions of the CKdVESCS.
语种	英语 ; 英语
出版者	INT ACADEMIC PUBLISHERS LTD ; HONG KONG ; UNIT 1205, 12 FLOOR, SINO PLAZA, 255 GLOUCESTER ROAD, HONG KONG 00000, CAUSEWAY BAY, PEOPLES R CHINA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13780]
专题	清华大学
推荐引用方式 GB/T 7714	Huang Ye-Hui,Wu Hong-Xia,Xie Xi,et al. On coupled KdV equations with self-consistent sources[J],2010, 2010.
APA	Huang Ye-Hui,Wu Hong-Xia,Xie Xi,&Zeng Yun-Bo.(2010).On coupled KdV equations with self-consistent sources..
MLA	Huang Ye-Hui,et al."On coupled KdV equations with self-consistent sources".(2010).

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