Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrodinger Equantion
文献类型:期刊论文
作者 | Li Biao1,3; Li Yu-Qi1,3; Chen Yong1,2 |
刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
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出版日期 | 2009-05-01 |
卷号 | 51期号:5页码:773-776 |
关键词 | symmetry groups cubic NLS equation exact solution |
ISSN号 | 0253-6102 |
英文摘要 | 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. |
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 |
语种 | 英语 |
WOS记录号 | WOS:000266219300002 |
出版者 | IOP PUBLISHING LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7673] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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