Optical soliton solutions to eight order nonlinear Schrödinger equation using some different methods

In this study, the eight order nonlinear Schrödinger equation modeling the pulse propagation in optical fiber is discussed. Optical fibers is used for long-distance and high-performance data networking which making it the logical choice for data transmission. For this reason, it becomes important to examine these type equations. Three different useful and effective methods have been used to obtain optical soliton solutions of this equation. In addition, it is tried to give more information about the dynamic performance of the model with the help of three-dimensional graphics. Finally, the stability property of the obtained analytical solution was investigated based on Hamiltonian systems.