Application of the generalized G′/G-expansion method for nonlinear PDEs to obtaining soliton wave solution

We analytically study the nonlinear partial differential equations by the generalized G′/G-expansion method. Explicit solutions are derived, which include solitons, singular solutions and singular triangular periodic solution. These solutions can be useful to explain some physical phenomena. Recently this method is developed for searching exact traveling wave solutions of nonlinear partial differential equations. Also, these solutions might play important role in mechanics. One can see that the method is relatively easy and efficient to use. We utilize of Maple and Matlab softwares for complex computational works and drawing of the graphs.