KMS Of Academy of mathematics and systems sciences, CAS
Symmetry, full symmetry groups, and some exact solutions to a generalized Davey-Stewartson system | |
Li, Biao1,2,4; Ye, Wang-Chuan1,2,4; Chen, Yong1,2,3 | |
2008-10-01 | |
Source Publication | JOURNAL OF MATHEMATICAL PHYSICS |
ISSN | 0022-2488 |
Volume | 49Issue:10Pages:13 |
Abstract | 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 |
Language | 英语 |
Funding Project | 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 Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000260572600027 |
Publisher | AMER INST PHYSICS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/6539 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Li, Biao |
Affiliation | 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 |
Recommended Citation 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. |
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