| 偏微分方程对称约化法的应用 |
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| 引用本文： | 白双月,朝鲁.偏微分方程对称约化法的应用[J].内蒙古大学学报(自然科学版),2011,42(1):21-26. |
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| 作者姓名： | 白双月 朝鲁 |
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| 作者单位： | 1. 内蒙古工业大学理学院,呼和浩特,010051
2. 上海海事大学文理学院,上海,200135 |
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| 基金项目： | 内蒙古高等学校科学研究项目，内蒙古工业大学科学研究资助项目 |
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| 摘 要： | 应用对称约化法将偏微分方程约化成自变量比原方程少一个的微分方程组来求解,得到了两类非线性发展方程的精确解.
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| 关 键 词： | 偏微分方程的对称约化 Lie-Bcklund对称 非线性发展方程 |
An Application of Symmetry Reduction of Partial Differential Equations |
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| BAI Shuang-yue,Chaolu.An Application of Symmetry Reduction of Partial Differential Equations[J].Acta Scientiarum Naturalium Universitatis Neimongol,2011,42(1):21-26. |
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| Authors: | BAI Shuang-yue Chaolu |
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| Institution: | BAI Shuang-yue1,Chaolu2(1.College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,2.College of Arts and Sciences,Shanghai Maritime University,Shanghai 200135) |
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| Abstract: | Based on the method of symmetry reduction,a partial differential equation is written as the system of differential equations with fewer number of independent variables,and the exact solutions are obtained for two kinds of nonlinear evolution equations. |
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