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    THE NEW SUB-EQUATION METHOD FOR GENERAL KAUP-KUPERSHMIDT EQUATION FROM CAPILLARY GRAVITY WAVES WITH CONFORMABLE DERIVATIVE
    (Asia Pacific Academic, 2019) Rezazadeh, Hadi; Kurt, Ali; Eslami, Mostafa; Mirzazadeh, Mohammad; Tasbozan, Orkun; Özkan, Ozan
    In this present paper, authors obtained the exact solution of time fractional general Kaup-Kupershmidt equation where the fracitonal derivative operator is in conformable sense by using the new sub-equation method. This method implemented firstly in the literature to a fractional partial differential equation. © 2019 Asia Pacific Journal of Mathematics.
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    Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves
    (Elsevier, 2019) Kurt, Ali; Rezazadeh, Hadi; Senol, Mehmet; Neirameh, Ahmad; Tasbozan, Orkun; Eslami, Mostafa; Mirzazadeh, Mohammad
    In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model. The fractional derivative is taken in the conformable sense. Each of the obtained exact solutions were checked by substituting them into the corresponding system with the help of Maple symbolic computation package. The results indicate that both methods are easy to implement, effective and reliable. They are therefore ready to apply for various partial fractional differential equations. (C) 2018 Shanghai Jiaotong University. Published by Elsevier B.V.
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    Wave behaviors of Kundu-Mukherjee-Naskar model arising in optical fiber communication systems with complex structure
    (Springer, 2021) Rezazadeh, Hadi; Kurt, Ali; Tozar, Ali; Tasbozan, Orkun; Mirhosseini-Alizamini, Seyed Mehdi
    Rogue waves are very mysterious and extra ordinary waves. They appear suddenly even in a calm sea and are hard to be predicted. Although nonlinear Schrodinger equation provides a perspective, it alone can neither detect rogue waves nor provide a complete solution to problems. Therefore, some approximations are still mandatory for both obtaining an exact solution and predicting rogue waves. Such as Kundu-Mukherjee-Naskar (KMN) model which allows obtaining lump-soliton solutions considered as rogue waves. In this study the functional variable method is utilized to obtain the analytical solutions of KMN model that corresponds to the propagation of soliton dynamics in optical fiber communication system.