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    Optical soliton solutions to eight order nonlinear Schrodinger equation using some different methods
    (Springer, 2021) Yılmaz, Esra Ünal; Özkan, Yeşim Sağlam
    In this study, the eight order nonlinear Schrodinger 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.
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    Structures of exact solutions for the modified nonlinear Schrodinger equation in the sense of conformable fractional derivative
    (Springer Heidelberg, 2023) Özkan, Yeşim Sağlam; Yılmaz, Esra Ünal
    This paper is devoted to discuss analytically the conformable time-fractional modified nonlinear Schrodinger equation with the aid of efficient methods. The suggested model is a model used in ocean engineering to explain the propagation of water waves. At this stage, while using the proposed methods, the first step is to reduce the model defined by the conformable fractional derivative to the ordinary differential equation system with an appropriate transformation. We have obtained a variety of new families of exact traveling wave solutions including trigonometric, hyperbolic and exponential types. In related subject, the Adomian decomposition method is implemented to approximate the one of the solution of the underlying equation. For dynamic properties of the obtained solutions, we have depicted them graphically using computer programming to explain more efficiently the behavior of different shapes of solutions for the different values of free parameters with constraint conditions. Finally, a comparison is given for the solutions obtained in this study.