Symmetry and Integrability of Equations of Mathematical Physics − 2013
Ivan Tsyfra (AGH University of Science and Technology, Krakow, Poland)
Nonpoint symmetries and reduction of partial differential equations
Abstract:
We use operators of nonpoint symmetry to obtain ansatze for dependent variable and its derivatives
which reduce partial differential equations to systems of ordinary differential equations.
It turns out that the operators of conditional symmetry enables us to construct algorithmically the
Backlund transformations to nonlinear wave equations. We construct exact solutions to nonlinear evolution and wave type equations by using this method.
