Roman Cherniha, Oleksii Pliukhin
Published 2009-02-13Version 1
A complete description of $Q$-conditional symmetries of reaction-diffusion-convection equation with arbitrary power nonlinearities is finished. It is shown that the results obtained in the first and second parts of this work (see arXiv:math-ph/0612078 and arXiv:0706.0814) cannot be extended on new power nonlinearities arising in the diffusion and convection coefficients.
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I
Lie reduction and exact solutions of vorticity equation on rotating sphere
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
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