Oleksandr A. Pocheketa (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)

Nonclassical reductions of generalized Burgers equations

Abstract:
Conditional ($Q$-conditional, nonclassical) symmetries, or reduction operators of a class of generalized Burgers equations are exhaustively described. A relationship of these equations with the potential fast diffusion equation is established and some exact solutions are presented.