Generalized procedure of separation of variables and reduction of nonlinear wave equations
We propose a generalized procedure of separation of variables for nonlinear wave equations and construct broad classes of exact solutions of these equations that cannot be obtained by the classical Lie method and the method of conditional symmetries.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 7, pp 1055-1074.
Citation Example: Barannyk A. F., Barannyk T. A., Yuryk I. I. Generalized procedure of separation of variables and reduction of nonlinear wave equations // Ukr. Mat. Zh. - 2009. - 61, № 7. - pp. 892-905.