Group classification of variable coefficient quasilinear reaction-diffusion equations

preprint2013arXivOpen access

Abstract

The group classification of variable coefficient quasilinear reaction-diffusion equations ut=uxx+h(x)B(u)u_t=u_{xx}+h(x)B(u) is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of admissible point transformation within the class.

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