Abstract
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.
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