Faculty of Mathematics and Mechanics, Kyiv T.G. Shevchenko National University
64 Volodymyrska Street, 01004 Kyiv, Ukraine

Classification of system of nonlinear evolution equations admitting higher-order conditional symmetries

Abstract:
Algorithm enabling us to construct classes of systems of non-linear evolution equations that can be reduced to systems of ordinary differential equations is suggested. It is based on conditional symmetry of system of investigated equations. Reduction of some new classes of equations and systems is performed.