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Research Article

Exact traveling waves for a generalized Fisher’s equation

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Pages 1201-1220 | Received 01 Sep 2020, Published online: 30 Aug 2022
 

Abstract

A generalized Fisher’s equation that has nonlinearity not only in the reaction and diffusion terms, but also in the evolution term is studied. We obtain exact traveling wave solutions for this generalized Fisher’s equation. The -expansion method is employed to obtain the solutions. Four exhaustive cases, depending on the parameters, are considered and studied. In each case, exact kink (anti-kink) waves are found.

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