| 一类改进Boussinesq方程的Lie对称群及群不变解 |
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| 引用本文： | 张锦,王乡月.一类改进Boussinesq方程的Lie对称群及群不变解[J].吉林大学学报(理学版),2015,53(3):359-362. |
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| 作者姓名： | 张锦 王乡月 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 利用经典Lie群方法研究一类改进Boussinesq方程的Lie对称群的存在性及相应的群不变解,证明了改进Boussinesq方程存在3-参数的Lie对称群,并得到了该方程的一些行波解和非行波解.
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| 关 键 词： | Lie群 Lie对称 Boussinesq方程 群不变解 |
| 收稿时间： | 2014-10-21 |
Lie Symmetry Analysis and Group-Invariant Solutions for an Improved Boussinesq Equation |
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| ZHANG Jin
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WANG Xiangyue.Lie Symmetry Analysis and Group-Invariant Solutions for an Improved Boussinesq Equation[J].Journal of Jilin University: Sci Ed,2015,53(3):359-362. |
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| Authors: | ZHANG Jin WANG Xiangyue |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | Applying the classical Lie symmetry method, we investigated the problem of determining the largest possible set of Lie point symmetries for an improved Boussinesq equation. The most general Lie point symmetry group of the improved Boussinesq equation was determined and the corresponding group\|invariant solutions, such as travelling wave solutions were obtained. |
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| Keywords: | Lie group Lie symmetry Boussinesq equation group-invariant solution |
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