Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrodinger Equantion

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	Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrodinger Equantion
	Li Biao 1,3; Li Yu-Qi 1,3; Chen Yong 1,2
	2009-05-01
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	51 期号:5 页码:773-776
摘要	Making use of the direct method proposed by Lou et al. and symbolic computation, finite symmetry transformation groups for a (2+1)-dimensional cubic nonlinear Schrodinger (NLS) equation and its corresponding cylindrical NLS equations are presented. Nine related linear independent infinitesimal generators can be obtained from the finite symmetry transformation groups by restricting the arbitrary constants in infinitesimal forms. Some exact solutions are derived from a simple travelling wave solution.
关键词	symmetry groups cubic NLS equation exact solution
语种	英语
资助项目	K.C. Wong Magna Fund in Ningbo University ; 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 (973 Program)[2007CB81480] ; Program for Changjiang Scholars and Innovative Research Team in University[IRTO734]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000266219300002
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/7674
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.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li Biao,Li Yu-Qi,Chen Yong. Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrodinger Equantion[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2009,51(5):773-776.
APA	Li Biao,Li Yu-Qi,&Chen Yong.(2009).Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrodinger Equantion.COMMUNICATIONS IN THEORETICAL PHYSICS,51(5),773-776.
MLA	Li Biao,et al."Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrodinger Equantion".COMMUNICATIONS IN THEORETICAL PHYSICS 51.5(2009):773-776.