| Burgers方程不变群的生成元和对称约化 |
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| 引用本文： | 李银.Burgers方程不变群的生成元和对称约化[J].韶关学院学报,2012,33(2):8-12. |
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| 作者姓名： | 李银 |
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| 作者单位： | 韶关学院数学与信息科学学院,广东韶关,512005 |
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| 基金项目： | 国家自然科学基金项目（10747141;11172181）; 韶关学院基金项目（韶学院[2012]1号） |
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| 摘 要： | 以Burgers方程为对象,研究了方程的不变群的生成元、对称约化问题.利用李群对称求出方程的解,并给出方程的生成元求法,及对称解,最后通过数值模拟验证了其有效性.
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| 关 键 词： | Burgers方程 生成元 对称约化 数值解 |
The same group of generators,symmetry reduction of Burgers equation |
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| LI Yin.The same group of generators,symmetry reduction of Burgers equation[J].Journal of Shaoguan University(Social Science Edition),2012,33(2):8-12. |
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| Authors: | LI Yin |
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| Institution: | LI Yin(College of Mathematics and Informating Science,Shaoguan University,Shaoguan 512005,Guangdong,China.) |
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| Abstract: | Based on symmetrical idea,the paper studies the same group of generators and the symmetrical problem of the Burgers equation,we solve and obtain the same group of generators and the symmetric solution of the Burgers equation by constructing an auxiliary equation and the original equation form equations.Consequenlly,we verify the method validity by numerical simulation. |
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| Keywords: | Burgers equation the same group of generator symmetry reduction numerical solution |
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