Symmetry in Nonlinear Mathematical Physics - 2009

Ivan Tsyfra (Institute of Mathematics, University of Bialystok, Poland & Institute of Geophysics, Kyiv, Ukraine)

Symmetry reduction of evolution and wave type equations

We study the symmetry reduction of nonlinear evolution and wave type differential equations by using operators of non-point symmetry. The corresponding anzatze reduce scalar equations to a system of ordinary differential equations. We show that the approach can be used for construction not only exact solutions but Bäcklund transformations also for the equations under study.