In this work, the new (F/G)-expansion method is proposed for obtaining traveling wave solutions of non linear evolution equations. This method is more powerful than the method (G′/G)-expansion method. The efficiency of the method is demonstrated on a variety of nonlinear PDEs such as convection-diffusion equation, Zoomeron equation. As a result, more traveling wave solutions are obtained including not only all the known solutions but also the computation burden is greatly decreased compared with the existing method. Abundant exact traveling wave solutions of these equations are expressed by the hyperbolic functions the trigonometric functions. Also it is shown that the proposed method is efficient for solving nonlinear evolution equations in mathematical physics and in engineering.

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