| (2+1)维广义Burgers 方程的Lie点对称, 相似约化和精确解 |
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| 引用本文： | 周子民,谭喜玉,张隽.(2+1)维广义Burgers 方程的Lie点对称, 相似约化和精确解[J].纯粹数学与应用数学,2011,27(1):138-142. |
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| 作者姓名： | 周子民 谭喜玉 张隽 |
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| 作者单位： | 浙江工业大学理学院应用数学系,浙江,杭州,310023 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 讨论了(2+1)维广义Burgers方程.通过Lie群方法求出了该方程的李点对称,并利用李点对称将方程进行相似约化,求出了(2+1)维广义Burgers方程的几种精确解.该方法可以用于研究更高阶的偏微分方程.
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| 关 键 词： | (2+1)维广义Burgers方程 Lie点对称 相似约化 精确解 |
Lie point symmetry,similarity reduction and exact solutions of (2+1)-dimensional generalized Burgers equation |
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| ZHOU Zi-min,TAN Xi-yu,ZHANG Jun.Lie point symmetry,similarity reduction and exact solutions of (2+1)-dimensional generalized Burgers equation[J].Pure and Applied Mathematics,2011,27(1):138-142. |
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| Authors: | ZHOU Zi-min TAN Xi-yu ZHANG Jun |
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| Institution: | (Department of Mathematics,Zhejiang University of Technology,Hangzhou 310032,China) |
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| Abstract: | A systematic investigation to derive the Lie point symmetries of (2+1)-dimensional generalized Burgers equation is presented.Using the obtained point symmetries,similarity reductions are derived,andsome exact solutions are obtained.The method can be used to study the higher-order partial differentiale quations. |
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| Keywords: | (2+1)-dimensional generalized Burgers equation Lie point symmetry similarity reduction exact solution |
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