Anatolij Barannyk (Akademia Pomorska w Slupsku, Poland), Tetyana Barannyk (Poltava State Pedagogical University, Poltava, Ukraine) and Ivan Yuryk (Ukrainian State University of Food Technologies, Kyiv, Ukraine)
Symmetry reduction of nonlinear wave equations
We consider conditional symmetry of a nonlinear wave equation. The known list of conditional symmetry operators of the equation is essentially extended. The obtained conditional symmetry operators are used for finding ansatzes reducing the wave equation to ordinary differential equations. New classes of exact solutions of the wave equation are constructed.