Application of the tan(phi/2)-expansion method for solving some partial differential equations

In this paper, the improved  -expansion method is proposed to solve the Kundu–Eckhaus equation and Gerdjikov–Ivanov model. The applied method are analytical methods to obtaining the exact solutions of nonlinear equations. Here, the aforementioned methods are used for constructing the soliton, periodic, rational, singular and solitary wave solutions for solving some equations. We obtained further solutions comparing this method with other methods. These solutions might play important role in engineering and physics fields. Being concise and straightforward, the method are applied for such problems. In addition, by using Matlab, some graphical simulations were done to see the behavior of these solutions.