Numerical solutions of nonlinear Schrodinger equation with applications in optical fiber communication

Optical soliton is a nonlinear wave with huge information or data which travels over larger distance in optical fibers. This paramount application of optical soliton forced many mathematicians and physicians to focus on it which initiates to study the soliton solutions of mathematical model in optical fiber communication characterized by nonlinear Schrodinger equation (NLSE) along with its important applications. Nonlinear Schrodinger equation represents propagation of light pulse through an optical fiber. In this paper NLSE is solved numerically by using exponential cubic B-spline differential quadrature method. In this method leave-one out cross validation strategy is being used to find optimal value of parameter p which enhances accuracy and efficiency of its results which are near to exact solutions and approximate to available numerical solutions in the literature.