| 一类反应扩散方程的精确解 |
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| 引用本文： | 徐淑奖,郭玉翠,李华英.一类反应扩散方程的精确解[J].数学研究及应用,2007,27(4):896-900. |
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| 作者姓名： | 徐淑奖 郭玉翠 李华英 |
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| 作者单位： | 1. 山东省计算中心,山东,济南,250014;北京邮电大学理学院,北京,100876
2. 北京邮电大学理学院,北京,100876 |
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| 摘 要： | 运用首次积分法并借助计算机符号计算系统Mathematica得到了一类非线性反应扩散方程u_t-u_(xx) au βu~2 γu~3=0的精确解,其中既包括已知的类孤立波解,又有新的精确解.
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| 关 键 词： | 反应扩散方程 首次积分法 精确解. |
| 文章编号： | 1000-341X（2007）04-0896-05 |
| 收稿时间： | 2005/6/27 0:00:00 |
| 修稿时间： | 2005-06-27 |
Exact Solutions for a Kind of Reaction Diffusion Equations |
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| XU Shu-jiang,GUO Yu-cui and LI Hua-ying.Exact Solutions for a Kind of Reaction Diffusion Equations[J].Journal of Mathematical Research with Applications,2007,27(4):896-900. |
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| Authors: | XU Shu-jiang GUO Yu-cui and LI Hua-ying |
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| Institution: | Shandong Computer Science Center, Shandong 250014, China; School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China;School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China;School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China |
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| Abstract: | Applying a new method called the first integral method, we obtain some exact solutions of a kind of reaction diffusion equations $u_t - u_{xx} + \alpha\, u + \beta\, u^2 + \gamma\, u^3 = 0$. These solutions not only include the soliton solutions that obtained in the previous literature, but also include some new exact solutions. |
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| Keywords: | reaction diffusion equations first integral method exact solutions |
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