Group classification of variable coefficient quasilinear reaction-diffusion equations

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.

10 pages, submitted to the Proceedings of the XVII Geometrical Seminar (September 3-8, 2012, Zlatibor, Serbia)

References in corpus (3)

• Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
• Conservation Laws of Variable Coefficient Diffusion-Convection Equations
• Group Analysis of Variable Coefficient Diffusion-Convection Equations. II. Contractions and Exact Solutions