On Exact Solutions of a Class of Reaction-Diffusion Equations

1 September 1984

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 33 (2) , 153-168
https://doi.org/10.1093/imamat/33.2.153

Abstract

A simple method based on the Laplace transform is developed to determine explicit solutions to Cauchy problems for a wide class of reaction-diffusion equations. The solutions obtained may serve as a comparison with numerical experiments and more importantly to analyse the evolution of initial values into travelling waves or travelling fronts.

Keywords

EXACT SOLUTIONS
DIFFUSION EQUATIONS
REACTION DIFFUSION
CLASS OF REACTION

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