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

Mehdi Nadjafikhah, Abolhassan Mahdavi
2013 Abstract and Applied Analysis  
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
more » ... nt solutions corresponding to the resulted symmetries are obtained.
doi:10.1155/2013/395847 fatcat:jvla3i4m3zbvjconjmgu2nuyzy