| Symmetry and Similarity Solutions of a （2＋1）-Dimensional Generalized Broer-Kaup System |
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| 作者姓名： | LI Jun-Min DING Wei TANG Xiao-Yan |
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| 作者单位： | [1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China [2]Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, China |
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| 基金项目： | 国家自然科学基金，上海市重点学科建设项目 |
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| 摘 要： | We study the symmetries of a （2＋1）-dimensional generalized Broer-Kaup system by means of the classical Lie group theory. The corresponding group algebra is constructed. Based on the symmetries, severaJ types of similarity solutions are obtained.
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| 关 键 词： | （2＋1）-维广义Broer-Kaup系统 对称性 相似解 经典李群法 |
| 收稿时间： | 2006-09-11 |
| 修稿时间： | 2006-09-11 |
Symmetry and Similarity Solutions of a (2+1)-Dimensional Generalized Broer-Kaup System |
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| LI Jun-Min DING Wei TANG Xiao-Yan.Symmetry and Similarity Solutions of a (2+1)-Dimensional Generalized Broer-Kaup System[J].Communications in Theoretical Physics,2007,47(6):1058-1062. |
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| Authors: | LI Jun-Min DING Wei TANG Xiao-Yan |
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| Institution: | 1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
;2. Department of Applied Mathematics, Shanghai Normal
University, Shanghai 200234, China |
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| Abstract: | We study the symmetries of a (2 1)-dimensional generalized Broer-Kaup system by means of the classical Lie group theory. The corresponding group algebra is constructed. Based on the symmetries, several types of similarity solutions are obtained. |
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| Keywords: | (2 1)-dimensional GBK system classical Lie group approach symmetry similarity solution |
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