Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations
Mathematical Physics
2014-08-01 v1 math.MP
Abstract
In this paper, the problem of approximate symmetries of a class of non-linear reaction-diffusion equations called Kolmogorov-Petrovsky-Piskounov (KPP) equation is comprehensively analyzed. In order to compute the approximate symmetries, we have applied the method which was proposed by Fushchich and Shtelen [8] and fundamentally based on the expansion of the dependent variables in a perturbation series. Particularly, an optimal system of one dimensional subalgebras is constructed and some invariant solutions corresponding to the resulted symmetries are obtained.
Keywords
Cite
@article{arxiv.1405.3209,
title = {Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations},
author = {Mehdi Nadjafikhah and Abolhassan Mahdavi},
journal= {arXiv preprint arXiv:1405.3209},
year = {2014}
}
Comments
14 pages