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arXiv · 1302.4915

Group classification of variable coefficient quasilinear reaction-diffusion equations

Olena Vaneeva·Alexander Zhalij
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Abstract

The group classification of variable coefficient quasilinear reaction-diffusion equations $u_t=u_{xx}+h(x)B(u)$ 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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Olena Vaneeva, Alexander Zhalij. 2013-02-20. Group classification of variable coefficient quasilinear reaction-diffusion equations. https://doi.org/10.2298/pim1308081v

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