Auto-Bäcklund transformation for some nonlinear partial differential equation

In this paper, we apply auto-Bäcklund transformation for Sharma-Tasso-Olver (STO) equation and fourth order equation of the Burgers hierarchy. Auto-Bäcklund transformation was developed as a direct and simple method to obtain solutions of nonlinear partial differential equations by Fan.We obtain solitary wave solutions of these equations.The numerical simulations are added to these obtained solutions