Painleve analysis and similarity solutions to the (2+1)-dimensional nonlinear evolution equation

doi:10.1393/ncb/i2003-10010-y

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	Painleve analysis and similarity solutions to the (2+1)-dimensional nonlinear evolution equation
	Yan, ZY
刊名	NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS
	2003-08-01
卷号	118 期号:8 页码:819-828
ISSN号	0369-3554
DOI	10.1393/ncb/i2003-10010-y
英文摘要	The singularity analysis and symmetry reductions of the new (2+1)-dimensionaJ nonlinear evolution equation, u(ty) + uu(xy) - u(x)u(y) - gammau(xxy) = 0, arising in a one-dimensional model for the three-dimensional vorticity equation are investigated in this paper. The singularity analysis of the equation is performed by using the WTC method such that it is shown that the equation fails to pass Painleve test. And then the CK direct method is extended to reduce this equation. As a consequence, eleven families of (1+1)-dimensional symmetry reductions of the equation are obtained which are useful to further seek the exact solutions of the equation.
语种	英语
出版者	EDITRICE COMPOSITORI BOLOGNA
WOS记录号	WOS:000221386900009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18673]
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 AMSS, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. Painleve analysis and similarity solutions to the (2+1)-dimensional nonlinear evolution equation[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS,2003,118(8):819-828.
APA	Yan, ZY.(2003).Painleve analysis and similarity solutions to the (2+1)-dimensional nonlinear evolution equation.NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS,118(8),819-828.
MLA	Yan, ZY."Painleve analysis and similarity solutions to the (2+1)-dimensional nonlinear evolution equation".NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS 118.8(2003):819-828.