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.