Generalized separation of variables for nonlinear equations

Abstract:
We propose a generalized procedure of separation of variables for nonlinear 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.

The results are published in Ukr. Math. J. 61, N. 7 (2009) 1055-1074 and Rep. Math. Phys. 68 (2011) 97-105.