| 非线性反应扩散方程的广义条件对称 |
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| 引用本文： | 李金花,郑锋,刘秀玲.非线性反应扩散方程的广义条件对称[J].齐齐哈尔大学学报(自然科学版),2008,24(5). |
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| 作者姓名： | 李金花 郑锋 刘秀玲 |
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| 作者单位： | 1. 西北大学数学系,西安,710127
2. 西北大学,信息学院,西安,710127 |
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| 摘 要： | 非线性反应扩散方程是一类在物理、生物、种群上有较多应用的方程,考虑其在幂函数扩散下所允许的一类二阶广义条件对称,通过广义条件对称,借助数学软件Maple,求得相应方程及其满足的对称群,通过对称群进一步得到精确解.
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| 关 键 词： | 非线性反应扩散方程 广义条件对称 精确解 |
Generalized conditional symmetry of nonlinear reaction-diffusion equation |
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| LI Jin-hua,ZHENG Feng,LIU Xiu-ling.Generalized conditional symmetry of nonlinear reaction-diffusion equation[J].Journal of Qiqihar University(Natural Science Edition),2008,24(5). |
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| Authors: | LI Jin-hua ZHENG Feng LIU Xiu-ling |
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| Institution: | LI Jin-hua~1 ZHENG Feng~2 LIU Xiu-ling~1 (1.Department of Mathematics,Northwest University,Xi\'an 710127,China,2.School of Information Science , Technology,China) |
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| Abstract: | Nonlinear reaction-diffusion equation is an class of equations which are used in physics,biology and population.The two-order generalized conditional symmetry of the equation under power-law diffusion term is discussed.Using Maple,some exact solutions are given. |
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| Keywords: | nonlinear reaction-diffusion equation generalized conditional symmetry exact solution |
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