| 一类反应扩散方程的行波解 |
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| 引用本文： | 郑伟强,周小燕,胡萍,彭建奎.一类反应扩散方程的行波解[J].延边大学理工学报,2014,0(3):203-206. |
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| 作者姓名： | 郑伟强 周小燕 胡萍 彭建奎 |
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| 作者单位： | 兰州文理学院 师范学院, 甘肃 兰州 730030 |
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| 摘 要： | 用试探函数法求解得到一类反应扩散方程行波解的通解,得到了连接不同平衡点的异宿轨道,并且验证了当参数m=1时解的正确性; 因此,可以把该解推广到高维的反应扩散方程中.
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| 关 键 词： | 反应扩散方程 行波解 平衡点 异宿轨道 |
Travelling wave solutions to a kind of reaction-diffusion equations |
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| ZHENG Weiqiang,ZHOU Xiaoyan,HU Ping,PENG Jiankui.Travelling wave solutions to a kind of reaction-diffusion equations[J].Journal of Yanbian University (Natural Science),2014,0(3):203-206. |
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| Authors: | ZHENG Weiqiang ZHOU Xiaoyan HU Ping PENG Jiankui |
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| Affiliation: | Norma College, Lanzhou University of Arts and Science, Lanzhou 730030, China |
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| Abstract: | A method to solve nonlinear partial differential equations is introduced. By using the method, we obtained the general solutions of reaction-diffusion equations, and obtained the heteroclinic orbit of connecting to a different equilibrium point. The results show that it is right when the parameter m=1, so the method can also be used to solve high-dimensional nonlinear reaction-diffusion equations. |
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| Keywords: | reaction-diffusion equations travelling wave solutions equilibrium point heteroclinic orbit |
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