一类反应扩散方程的行波解  

Travelling Wave Solutions to a Kind of Reaction-diffusion Equations

作　　者：周小燕 胡萍 梁青青 ZHOU Xiao-yan;HU-Ping;LIANG Qing-qing(Lan Zhou University of arts and science,Lanzhou 730070,China)

机构地区：[1]兰州文理学院传媒工程学院,甘肃兰州730030

出　　处：《牡丹江师范学院学报（自然科学版）》2018年第4期19-21,共3页Journal of Mudanjiang Normal University：Natural Sciences Edition

基　　金：甘肃省自然科学基金资助项目(1606RJZA181)

摘　　要：用试探函数法求得一类反应扩散方程的反应扩散方程通解,验证当参数m=1时解的正确性,得到连接不同平衡点的异宿轨道.可以把该解法推广到高维反应扩散方程中.By using the trial function 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 righted when the parameter m=1, It is shown that the method can also be used to solve high-dimensional nonlinear reaction diffusion equations.

关 键 词：反应扩散方程 行波解 平衡点 异宿轨道 

分 类 号：O115[理学—数学]