Symmetry in Nonlinear Mathematical Physics - 2009

Anatolij Barannyk (Akademia Pomorska w Slupsku, Poland)
Tetyana Barannyk (Poltava State Pedagogical University, Ukraine)
Ivan Yuryk (Ukrainian State University of Food Technologies, Kyiv, Ukraine)

Generalized separation of variables for nonlinear wave equations

A generalized procedure of separation of variables is proposed. It is applied to nonlinear wave equations. As a result, we construct wide classes of exact solutions of these equations, which cannot be obtained by means of the classical Lie method and the conditional symmetry method.