Analytic Solutions Of Two Coupled Reaction-diffusion Equations
Author(s)
P. Barrera, T. Brugarino & L. Pignato
Abstract
Analytic solutions of two coupled reactiondiffusion
equations
P. Barrera1 , T. Brugarino2 & L. pignato3
' ~ i p . di Meccanica e Aeronautica
'Dip. di Matematica ed Applicazioni
j ~ i p . di Ricerche Energetiche ed Ambientali, Facoltu d'zngegneria,
Italy
Abstract
The aim of this paper is to obtain a set of exact solutions for two coupled
reaction-diffusion equations. In order to obtain exact solutions we use the
group analysis and the truncated Painlev6 analysis.
1 Introduction
The macroscopic formulation of 1;wo ficlds reaction-diffusion model considers
thc two fields u(z> t) and v(x, t) whose evolution is governcd by system of
equations:
whcrc D1(x) and Dz(x) are thc diffusion coefficients, XI and Xp are the
reaction cocfficicnts and subscripts dcnotc the partial dcrivativcs. These
nonlinear cquations havc been used to dcscribc a wide class of systems,
raging from biological morphogencsis to hctcrogcncous chemical rcactions:
in particular the phenomena of diffusion of pollutants in the cnv
Keywords
Related Book
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