| 一类(2+1)维非线性扩散方程的对称及不变解 |
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| 引用本文： | 白银,郑丽霞,郭华.一类(2+1)维非线性扩散方程的对称及不变解[J].内蒙古工业大学学报,2010(1). |
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| 作者姓名： | 白银 郑丽霞 郭华 |
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| 作者单位： | 内蒙古工业大学理学院; |
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| 摘 要： | 本文首先讨论了一类(2+1)维非线性扩散方程的一般形式并对其进行对称分类,然后利用对称约化得到了(2+1)维非线性扩散方程相应于这些单参数不变群的群不变解.
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| 关 键 词： | 对称 不变解 非线性扩散方程 |
SYMMETRIES AND GROUP-INVARIANT SOLUTIONS OF A CLASS OF(2+1)-DIMENTIONAL NONLINEAR DIFFUSION EQUATION |
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| BAI Yin,ZHENG Li-xia.SYMMETRIES AND GROUP-INVARIANT SOLUTIONS OF A CLASS OF(2+1)-DIMENTIONAL NONLINEAR DIFFUSION EQUATION[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),2010(1). |
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| Authors: | BAI Yin ZHENG Li-xia |
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| Institution: | School of Science/a>;Inner Mongolia University of Technology/a>;Hohhot 010051/a>;China |
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| Abstract: | The general form and symmetry classification of a class of(2+1)-dimentional nonlinear diffusion equation are discussed first,and group invariant solutions are worked out by applying symmetry reduction to one-parameter invariant group. |
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| Keywords: | symmetry invariant solutions nonlinear diffusion equation |
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