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Chinese Physics, 2006, Vol. 15(7): 1414-1417    DOI: 10.1088/1009-1963/15/7/004
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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)
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  
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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