| 基于李群李对称方法求解一类偏微分方程 |
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| 引用本文： | 张晓莉,赵小山.基于李群李对称方法求解一类偏微分方程[J].天津师范大学学报(自然科学版),2011,31(4):20-22,26. |
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| 作者姓名： | 张晓莉 赵小山 |
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| 作者单位： | 天津职业技术师范大学理学院,天津,300222 |
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| 基金项目： | 天津市自然科学基金资助项目 |
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| 摘 要： | 基于李群李对称方法求解一类偏微分方程,得到方程的对称约化和精确解及幂级数解等.
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| 关 键 词： | 李对称分析 幂级数 精确解 相似约化 |
Solving a kind of partial differential equations by Lie group Lie symmetry |
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| ZHANG Xiaoli,ZHAO Xiaoshan.Solving a kind of partial differential equations by Lie group Lie symmetry[J].Journal of Tianjin Normal University(Natural Science Edition),2011,31(4):20-22,26. |
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| Authors: | ZHANG Xiaoli ZHAO Xiaoshan |
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| Institution: | ZHANG Xiaoli,ZHAO Xiaoshan(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China) |
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| Abstract: | A kind of nonlinear partial differential equations is solved by the Lie symmetry analysis and group classifications.As a result the symmetry reduction and some new exact solutions have been obtained,including the power series solution and so on. |
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| Keywords: | Lie symmetry analysis power series method exact solution similarity reductions |
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