| 非线性Chaffee-Infante反应扩散方程的新精确解 |
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| 引用本文： | 孙峪怀,杨少华,王佼,刘福生.非线性Chaffee-Infante反应扩散方程的新精确解[J].四川师范大学学报(自然科学版),2012,35(3):293-296. |
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| 作者姓名： | 孙峪怀 杨少华 王佼 刘福生 |
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| 作者单位： | 1. 四川师范大学数学与软件科学学院,四川成都,610066
2. 西南交通大学高压物理研究所,四川成都,610031 |
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| 基金项目： | 国家自然科学基金委员会-中国工程物理研究院NASF联合基金，四川省教育厅自然科学重点基金 |
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| 摘 要： | 反应扩散方程描述了物质的输运、扩散和流动等物理过程,其精确解的构建在数学、物理、化学、生物等领域有其重要的应用意义.运用广义的Riccati方程代换法解Chaffee-Infante反应扩散方程,获得了27种形式的解,丰富了精确行波解的形式.推广运用该方法,可以构建其它类型的非线性反应扩散方程的行波解.
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| 关 键 词： | Chaffee-Infante反应扩散方程 广义Riccati方程 精确解 |
New Exact Solutions of Nonlinear Chafee-Infante Reaction and Diffusion Equation |
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| SUN Yu-huai
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YANG Shao-hua
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WANG Jiao
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LIU Fu-sheng.New Exact Solutions of Nonlinear Chafee-Infante Reaction and Diffusion Equation[J].Journal of Sichuan Normal University(Natural Science),2012,35(3):293-296. |
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| Authors: | SUN Yu-huai YANG Shao-hua WANG Jiao LIU Fu-sheng |
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| Institution: | 1.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan; 2.Institute of High Pressure Physics,Southwest Jiatong University,Chengdu 610031,Sichuan) |
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| Abstract: | Reaction-diffusion equations are mathematical models which explain the processes of transition,diffusion and fluidity of substances.Constructing the exact solutions of this kind of equations are naturally applied in many fields such as mathematics,physics,chemistry and biology.In this paper,by applying the generalized Riccati equation substitution,the exact solutions of nonlinear Chafee-Infante reaction diffusion equations are constructed.The solutions are of 27 forms.This method used in this paper is widely applicatable for handling other nonlinear reaction diffusion equations. |
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| Keywords: | Chafee-Infante reaction and diffusion equation generalized Riccati equation exact solution |
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