Analytical Investigation of Solitons in Optical Fiber with Solution of Nonlinear Schrödinger Equation

In this paper, properties of optical soliton and their propagation on the basis of Generalized Nonlinear Schrödinger Equation in optical fiber is investigated. Analytical and numerical methods is used for solution of partial differential equations and Fourier transform based on time frequency to show solitons in the area of nonlinear scattering. We analyzed the behavior of solitons with solution of nonlinear Schrödinger equation and by using SSFM that is a very efficient way and it is possible to study the composition of the solitons and behavior of high order solitons.