| 一个3＋1维非线性发展方程和Maccari系统的对称群及精确解 |
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| 引用本文： | 胡晓.一个3＋1维非线性发展方程和Maccari系统的对称群及精确解[J].宁波大学学报(理工版),2011,24(1):108-114. |
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| 作者姓名： | 胡晓 |
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| 作者单位： | 宁波大学理学院,浙江宁波,315211 |
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| 基金项目： | Supported by National Natural Science Foundation of China，Zhejiang Provincial Natural Science Foundations of China，Ningbo Natural Science Foundation，K.C.Wong Magna Fund in Ningbo University |
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| 摘 要： | 利用广义对称群方法和符号计算，首先得到了一个3＋1维非线性发展方程和Maccari系统的李群以及非李对称变换群，然后利用它们求出的对称群以及一些简单的种子解构造出新解．
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| 关 键 词： | 对称群 3＋1维非线性发展方程 Maccari系统 |
Symmetry Groups and Exact Solutions of a (3+1)-dimensional Nonlinear Evolution Equation and Maccari's System |
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| HU Xiao.Symmetry Groups and Exact Solutions of a (3+1)-dimensional Nonlinear Evolution Equation and Maccari's System[J].Journal of Ningbo University(Natural Science and Engineering Edition),2011,24(1):108-114. |
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| Authors: | HU Xiao |
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| Institution: | HU Xiao (Faculty of Science,Ningbo University,Ningbo 315211,China) |
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| Abstract: | Based on the generalized symmetry group method and symbolic computation,both the Lie point groups and the non-Lie symmetry groups of a (3+1)-dimensional nonlinear evolution equation as well as the Maccari's system are firstly obtained.Furthermore,some exact solutions of the two equations are derived from some simple solutions by the symmetry groups. |
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| Keywords: | symmetry group (3+1)-dimensional nonlinear evolution equation Maccari's system |
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