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.

arXiv comment18 pages. submitted

References in corpus (1)

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

Cited by in corpus (6)

• Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source
• Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
• Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems
• Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities
• Comments on the paper "Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry approach"
• Group analysis for generalized reaction-diffusion convection equation