2003•Journal of Hubei Institute for NationalitiesRequires access

Traveling Wave Solutions of a Generalized Fisher Equation

Tang Yan-bin

Abstract

Traveling wave solutions make up an important class of solutions of reaction-diffusion equations. They are solutions of the form,where is a constant,the speed of the wave. In this paper,the existence of traveling wave solutions of a generalized Fisher equation is discussed when α is 3,and some explicit traveling wave solutions are obtained by determined coefficient method.

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Key concepts: Traveling wave, Fisher equation, Mathematics, Constant (computer programming), Mathematical analysis, Reaction–diffusion system, Diffusion, Fisher's equation