The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation

doi:10.1088/0305-4470/37/3/020

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	The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation
	Yan, ZY
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
	2004-01-23
卷号	37 期号:3 页码:841-850
ISSN号	0305-4470
DOI	10.1088/0305-4470/37/3/020
英文摘要	The (2+1)-dimensional Eckhaus-type extension of the dispersive long wave (EEDLW) equation is investigated, which was obtained in the appropriate approximation from the basic equations of hydrodynamics. Though it has no Painleve property, we gain an auto-Backlund transformation (aBT) by truncating the Laurent series expansion at O(w(0)). In particular, the special one of the aBT establishes a relationship between the EEDLW equation and a set of three linear partial differential equations involving the well-known heat equation. Finally many types of new exact solutions of the EEDLW equation are found from the obtained aBT and some proper ansatze, which may be useful to explain some physical phenomena.
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000188710600023
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/848]
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2004,37(3):841-850.
APA	Yan, ZY.(2004).The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,37(3),841-850.
MLA	Yan, ZY."The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 37.3(2004):841-850.