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arXiv · 1405.3209

Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations

Mehdi Nadjafikhah·Abolhassan Mahdavi
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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.

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Mehdi Nadjafikhah, Abolhassan Mahdavi. 2014-05-11. Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations. https://doi.org/10.1155/2013%2F395847

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