Symmetry and Integrability of Equations of Mathematical Physics − 2011

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

Reduction operators and exact solutions of generalized Burgers equations

Reduction operators of generalized Burgers equations are investigated. A connection between these equations and the potential fast diffusion equation via reduction operators is established. A number of exact solutions of certain generalized Burgers equations are constructed using known solutions of the potential fast diffusion equation.