Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms

2015/08/01 by C. -L. Ho, C. -C. Lee · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.stat-mech #math.MP #nlin.SI #physics.bio-ph

paper · pdf · doi:10.1016/j.aop.2015.11.002

11 pages, 4 figures

arxiv created 2015/08/01 · arxiv updated 2016/01/20

Abstract

We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method. By introducing the similarity variable, the reaction-diffusion equation is reduced to an ordinary differential equation. Matching the resulting ordinary differential equation with known exactly solvable equations, one can obtain corresponding exactly solvable reaction-diffusion systems. Several representative examples of exactly solvable reaction-diffusion equations are presented.

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