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An exact solution of Fisher equation and its stability
作者姓名:段文山  杨红娟  石玉仁
作者单位:College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China;College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China;College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China
基金项目:Project partially supported by the National Natural Science Foundation of China (Grant Nos 10575082 and 10247008), the Scientific Research Foundation for the Returned Overseas Chinese Scholars of State Education Ministry of China, the Natural Science Fou
摘    要:In this paper, the Fisher equation is analysed. One of its travelling wave solution is obtained by comparing it with KdV-Burgers (KdVB) equation. Its amplitude, width and speed are investigated. The instability for the higher order disturbances to the solution of the Fisher equation is also studied.

关 键 词:Fisher方程  KdVB方程  精确解  数学分析
收稿时间:2005-09-30
修稿时间:2005-09-302006-03-27

An exact solution of Fisher equation and its stability
Duan Wen-Shan,Yang Hong-Juan and Shi Yu-Ren.An exact solution of Fisher equation and its stability[J].Chinese Physics B,2006,15(7):1414-1417.
Authors:Duan Wen-Shan  Yang Hong-Juan and Shi Yu-Ren
Institution:College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
Abstract:In this paper, the Fisher equation is analysed. One of its travelling wave solution is obtained by comparing it with KdV--Burgers (KdVB) equation. Its amplitude, width and speed are investigated. The instability for the higher order disturbances to the solution of the Fisher equation is also studied.
Keywords:Fisher equation  KdVB equation
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