Symmetry, full symmetry groups, and some exact solutions to a generalized Davey-Stewartson system

doi:10.1063/1.2993975

CSpace

	Symmetry, full symmetry groups, and some exact solutions to a generalized Davey-Stewartson system
	Li, Biao 1,2,4; Ye, Wang-Chuan 1,2,4; Chen, Yong 1,2,3
	2008-10-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	49 期号:10 页码:13
摘要	The Lie symmetry algebra of a generalized Davey-Stewartson (GDS) system is obtained. The general element of this algebra depends on eight arbitrary functions of time, which has a Kac-Moody-Virasoro loop algebra structure and is isomorphic to that of the standard integrable Davey-Stewartson equations under certain conditions imposed on parameters and arbitrary functions. Then based on the symmetry group direct method proposed by Lou and Ma [J. Phys. A 38, L129 (2005)] the full symmetry groups of the GDS system are obtained. From the full symmetry groups, both the Lie symmetry group and a group of discrete transformations can be obtained. Finally, some exact solutions involving sech-sech(2)-sech(2) and tanh-tanh(2)-tanh(2) type solitary wave solutions are presented by a generalized subequation expansion method. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.2993975]
DOI	10.1063/1.2993975
语种	英语
资助项目	National Natural Science Foundation of China[10747141] ; National Natural Science Foundation of China[10735030] ; Zhejiang Provincial Natural Science Foundations of China[605408] ; Ningbo Natural Science Foundation[2007A610049] ; Ningbo Natural Science Foundation[2006A610093] ; National Basic Research Program of China[2007CB814800] ; K. C. Wong Magna Fund in Ningbo University
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000260572600027
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6539
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Biao
作者单位	1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China 3.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 4.Chinese Acad Sci, KLMM, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Biao,Ye, Wang-Chuan,Chen, Yong. Symmetry, full symmetry groups, and some exact solutions to a generalized Davey-Stewartson system[J]. JOURNAL OF MATHEMATICAL PHYSICS,2008,49(10):13.
APA	Li, Biao,Ye, Wang-Chuan,&Chen, Yong.(2008).Symmetry, full symmetry groups, and some exact solutions to a generalized Davey-Stewartson system.JOURNAL OF MATHEMATICAL PHYSICS,49(10),13.
MLA	Li, Biao,et al."Symmetry, full symmetry groups, and some exact solutions to a generalized Davey-Stewartson system".JOURNAL OF MATHEMATICAL PHYSICS 49.10(2008):13.