Preliminary group classification on Asymmetric wave propagation in Reaction-Diffusion-Convection System

Abstract

We use Lie's symmetry approach through corrected Euler's method for preliminary group classication[1],[2] of the Convection-induced instability in reaction system producing of oscillations behind wave propagation. We use modified symmetries to transform the system and compare our results to the numerical solutions. The results we obtained will have a greater impact on the formation analysis of biological systems[3].

References
[1] Ibragimov,N.H. \& Torrisi,M. and A. Valenti,.(1991). Preliminary Group Classication of the equations $u_{tt} = f (x; u_x) u_{xx} + g (x; u_x)$: J. Math. Phys.32, 2988-2995.

[2] Manale,J.M. 2014. New solutions of the heat equation. International Journal of Applied Mathematics and Informatics, 8:15-25.

[3] Flach,E.\& Norbury,J and Schnell,S. 2013.More than Skew: Asymmetric Wave propagation in Reaction-diffusion-Convection, Biomath 1