中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1414-1417.doi: 10.1088/1009-1963/15/7/004

• GENERAL • 上一篇    下一篇

An exact solution of Fisher equation and its stability

段文山, 杨红娟, 石玉仁   

  1. College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2005-12-30 修回日期:2006-03-27 出版日期:2006-07-20 发布日期:2006-07-20
  • 基金资助:
    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

An exact solution of Fisher equation and its stability

Duan Wen-Shan (段文山), Yang Hong-Juan (杨红娟), Shi Yu-Ren (石玉仁)   

  1. College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China
  • Received:2005-12-30 Revised:2006-03-27 Online:2006-07-20 Published:2006-07-20
  • Supported by:
    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

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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.

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.

Key words: Fisher equation, KdVB equation

中图分类号:  (Partial differential equations)

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