Complex traveling wave solutions to the Fisher equation

Zhaosheng Feng and Yang Li

Physica A: Statistical Mechanics and its Applications, 2006, vol. 366, issue C, 115-123

Abstract: There is the widespread existence of wave phenomena in physics, chemistry and biology. This clearly necessitates a study of traveling waves in depth and of the modeling and analysis involved. In the present paper, we study the Fisher equation by means of the first integral method, which is based on the ring theory of commutative algebra. A traveling wave solution is obtained, which indicates that the analytical solutions in the literature are particular cases of our result.

Keywords: Traveling waves; First integral; Fisher equation; Autonomous system (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:366:y:2006:i:c:p:115-123

DOI: 10.1016/j.physa.2005.10.058

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