Some New Exact Travelling Wave Solutions of the Cubic Nonlinear Schrodinger Equation using the (Exp(−φ(ξ)))-Expansion Method

The nonlinear physical model such as the cubic nonlinear Schrodinger equation has been applied in many branches of physics. In this paper, the Exp(−φ(ξ))-expansion method is applied to evaluate new exact travelling wave solutions of the complex Schrodinger equation with cubic nonlinearity. Various solutions of the cubic nonlinear Schrodinger equation using this method provide us the firm mathematical foundation of soliton physics. Further, threedimensional plots of the solutions are also given to visualize the dynamics of the equation.