Investigation of the new version generalized (G'/G) method

In this thesis, the new version generalized (G'/G)-expansion method which allows to obtain new exact solutions of the nonlinear partial differential equations is expressed. This method was formed by developing the generalized (G'/G)-expansion method which is exist in the literature. When the proposed method is applied to the Higgs equation system with complex coefficients and the double dispersive equations, new exact solutions for these equations have been obtained. We can state that these new exact solutions which are not in the literature are new and different. Furthermore, the behaviors of these exact solutions are shown by drawing two and three dimensional graphs.