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.
Received: 30 December 2005
Revised: 27 March 2006
Accepted manuscript online:
PACS:
02.30.Jr
(Partial differential equations)
Fund: 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
Cite this article:
Duan Wen-Shan (段文山), Yang Hong-Juan (杨红娟), Shi Yu-Ren (石玉仁) An exact solution of Fisher equation and its stability 2006 Chinese Physics 15 1414
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