New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I

Abstract

A complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived. It is shown that all the known results for reaction-diffusion equations with power diffusivities follow as particular cases from those obtained here but not vise versa.

18 pages. submitted

References in corpus (1)

• On nonlinear partial differential equations with an infinite-dimensional conditional symmetry

Cited by in corpus (1)

• Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source