A constructive method for obtaining new exact solutions of nonlinear evolution equations

New constructive method is suggested for obtaining exact solutions of nonlinear equations. The method is based on the consideration of a fixed nonlinear PDE (system of PDEs) together with additional condition in the form of a linear ODE (system of ODEs). With the help of this method new exact solutions are obtained for a nonlinear generalizations of the Bürgers equations and some nonlinear evolution systems, which describe real processes in physics and chemistry.