Symmetry and Integrability of Equations of Mathematical Physics − 2013
Irina Yehorchenko
(Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
Classification of partial differential equations with respect to reductions
Abstract:
We consider different approaches to classification of PDEs
with respect to possible reductions to equations with smaller number
of independent variables. As not all reductions are Lie symmetry
reductions, the approaches of group classification in general are not
applicable. Examples considered are the nonlinear wave equation and
the Schrödinger equation.
