Integrable couplings of the hierarchies of evolution equations

	Integrable couplings of the hierarchies of evolution equations
	Zhang, YF ; Yan, QY
刊名	CHAOS SOLITONS & FRACTALS
	2003-03-01
卷号	16 期号:2 页码:263-269
ISSN号	0960-0779
英文摘要	An efficient, straightforward method for obtaining integrable couplings of a hierarchy of evolution equations is proposed in this paper. First a transformation of a kind of Lax pairs is presented, a new loop algebra is constructed, which can be used to obtain the integrable couplings of the Levi hierarchy. Using this method can also obtain the integrable couplings of the well-known generalized AKNS hierarchy. As special cases, the integrable couplings of KdV equation and mKdV equation are obtained, respectively. This method can be used generally. (C) 2002 Elsevier Science Ltd. All rights reserved.
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000180349800009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19088]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YF
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Shanghai Univ Sci & Technol, Informat Sch, Inst Math, Tainan 271019, Peoples R China 3.Dalian Univ Technol, Mech Engn Coll, Dalian 116024, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF,Yan, QY. Integrable couplings of the hierarchies of evolution equations[J]. CHAOS SOLITONS & FRACTALS,2003,16(2):263-269.
APA	Zhang, YF,&Yan, QY.(2003).Integrable couplings of the hierarchies of evolution equations.CHAOS SOLITONS & FRACTALS,16(2),263-269.
MLA	Zhang, YF,et al."Integrable couplings of the hierarchies of evolution equations".CHAOS SOLITONS & FRACTALS 16.2(2003):263-269.