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

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

CSpace > 系统科学研究所

	The investigation for (2+1)-dimensional Eckhaus-type extension of the dispersive long wave equation
	Yan, ZY
	2004-01-23
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN	0305-4470
卷号	37 期号:3 页码:841-850
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.
DOI	10.1088/0305-4470/37/3/020
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000188710600023
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/849
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.