New conditional symmetries and exact solutions of nonlinear evolution equations
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.
The symmetries obtained for constructing exact solutions of the relevant equations are successfully
applied. In the particular case, new exact solutions of nonlinear reaction-diffusion-convection equations
arising in application are found.
Joint work with Oleksii Pliukhin.