[1]郑伟强,周小燕,胡萍,等.一类反应扩散方程的行波解[J].延边大学学报(自然科学版),2014,40(03):203-206.
　ZHENG Weiqiang,ZHOU Xiaoyan,HU Ping,et al.Travelling wave solutions to a kind of reaction-diffusion equations[J].Journal of Yanbian University,2014,40(03):203-206.
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一类反应扩散方程的行波解

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第40卷 期数: 2014年03期 页码: 203-206 栏目: 基础科学研究 出版日期: 2014-09-20
Title:
Travelling wave solutions to a kind of reaction-diffusion equations
作者:
郑伟强; 周小燕; 胡萍; 彭建奎
兰州文理学院 师范学院, 甘肃 兰州 730030
Author(s):
ZHENG Weiqiang;  ZHOU Xiaoyan;  HU Ping;  PENG Jiankui
Norma College, Lanzhou University of Arts and Science, Lanzhou 730030, China
关键词:
反应扩散方程;  行波解;  平衡点;  异宿轨道
Keywords:
reaction-diffusion equations;  travelling wave solutions;  equilibrium point;  heteroclinic orbit
分类号:
O415
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

收稿日期: 2014-06-05作者简介: 郑伟强(1953—),男,副教授,研究方向为计算物理.

更新日期/Last Update: 2014-09-20