Abundant general solitary wave solutions to the family of KdV type equations

This work explores the construction of more general exact traveling wave solutions of some nonlinear evolution equations (NLEEs) through the application of the (G′/G, 1/G)-expansion method. This method is allied to the widely used (G′/G)-method initiated by Wang et al. and can be considered as an extension of the (G′/G)-expansion method. For effectiveness, the method is applied to the family of KdV type equations. Abundant general form solitary wave solutions as well as periodic solutions are successfully obtained through this method. Moreover, in the obtained wider set of solutions, if we set special values of the parameters, some previously known solutions are revived. The approach of this method is simple and elegantly standard. Having been computerized it is also powerful, reliable and effective.