| Symmetries and Similarity Reductions of a New （2＋1）-Dimensional Shallow Water Wave System |
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| 引用本文： | LIU Ping. Symmetries and Similarity Reductions of a New （2＋1）-Dimensional Shallow Water Wave System[J]. 理论物理通讯, 2008, 49(3): 555-558 |
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| 作者姓名： | LIU Ping |
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| 作者单位： | Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant Nos. 10475055 and 90503006.Acknowledgments I would like to express my deep appreciation to Prof. S.Y. Lou for his valuable advice and guidance. I would also like to thank Drs. X.Y. Tang, X.Y. Jiao, and J.M. Li for their helpful discussions. |
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| 摘 要： | The symmetries of a （2＋1）-dimensional shallow water wave system, which is newly constructed through applying variation principle of analytic mechanics, are researched in this paper. The Lie symmetries and the corresponding reductions are obtained by means of classical Lie group approach. The （1＋1） dimensional displacement shallow water wave equation can be derived from the reductions when special symmetry parameters are chosen.
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| 关 键 词： | 对称性 空间 浅水波 李群 群论 |
| 收稿时间： | 2007-02-05 |
Symmetries and Similarity Reductions of aNew (2+1)-Dimensional Shallow Water Wave System |
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| LIU Ping. Symmetries and Similarity Reductions of aNew (2+1)-Dimensional Shallow Water Wave System[J]. Communications in Theoretical Physics, 2008, 49(3): 555-558 |
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| Authors: | LIU Ping |
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| Affiliation: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | The symmetries of a (2+1)-dimensional shallow water wave system, which is newly constructed through applyingvariation principle of analytic mechanics, are researched in thispaper. The Lie symmetries and the corresponding reductions areobtained by means of classical Lie group approach. The (1+1)dimensional displacement shallow water wave equation can be derivedfrom the reductions when special symmetry parameters are chosen. |
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| Keywords: | （2＋1）-dimensional shallow water wave system classical Lie group approach symmetries similarity reductions |
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