| Burgers方程的非古典势对称群及显式解 |
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| 引用本文： | 秦茂昌,梅凤翔.Burgers方程的非古典势对称群及显式解[J].江西师范大学学报(自然科学版),2004,28(6):503-506. |
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| 作者姓名： | 秦茂昌 梅凤翔 |
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| 作者单位： | 北京理工大学,理学院力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金资助(10272021). |
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| 摘 要： | 该文对Burgers方程的非古典势对称群进行研究，得到几类非古典势对称群生成元并用其求得Burgers方程的相应特解，这些新特解不能由Burgers方程本身的古典Lie对称与非古典Lie对称来获得。
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| 关 键 词： | Burgers方程 对称群 显式解 特解 Lie对称 生成元 古典 并用 研究 |
| 文章编号： | 1000-5862(2004)06-0503-04 |
Noclassical Potential Symmetries and New Special Solutions of Burgers Equation |
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| QIN Mao-chang,MEI Feng-xiang.Noclassical Potential Symmetries and New Special Solutions of Burgers Equation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2004,28(6):503-506. |
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| Authors: | QIN Mao-chang MEI Feng-xiang |
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| Abstract: | In this paper, nonclassical potential symmetries of Burgers equation equation are determined and some class of new special solutions which can not obtained by Lie symmetries of Burgers equation or its adjointintegrated equation are obtained by using these new symmetry generators. |
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| Keywords: | nonclassical potential symmetry explicit solution Burgers equation |
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