In a long-haul optical fiber transmission system which uses a high power input and a long distance transmission, disturbances can occur during the propagation process. These disturbances can be categorized into linear and non-linear effects which are affected by the intensity dependence of fiber optic refractive index n. These effects are divided into several orders and analyzed separately since each of the orders has different effects. In this paper, dispersion which is part of the linear effect and some of the non linear effects are analyzed. More specifically, the main focus of this paper will be on the phenomena of pulse broadening, oscillation and spectral evolution that occur within a signal pulse. A novel approach which is based on the modeling of high order method in NLSE were proposed in this paper in order to detect and analyze those effects. This new scheme is based on the high order sequence of NLSE which will be used to classify the effects of the parameters. Furthermore, various chirping methods for each input pulse were also discussed to compare the chirped and unchirped pulses. Consequently, it was found that the chirping method affected the dispersion result due to the dependencies of high order parameter with respect to the chirping constants. Further analysis of the MATLAB results is also presented in this paper based on each output.