University of Tabriz Computational Methods for Differential Equations 2345-3982 12 1 2024 11 01 The complex hyperbolic Schrodinger dynamical equation with a truncated M-fractional by using simplest equation method 44 55 16192 10.22034/cmde.2022.40084.1747 EN Asim Zafar Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan. Waseem Razzaq Math Center, House no 87 Rahmanyia colony, Vehari, Pakistan. Hadi Rezazadeh Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran. Mostafa Eslami Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. Journal Article 2020 05 30 This article studies a complex hyperbolic Schrodinger dynamical equation that is associated with nonlinear media via ultra short pulse propagation. The modified simplest equation method is executed to construct complex solitary wave and other solutions of the aforesaid equation by considering it in conformable M-fractional derivative sense. The acquired solutions are in the form of solitary and periodic waves and rational functions. These solutions are also described with their graphical representations by assuming appropriate values of required parameters. Moreover, the results show that the aforesaid approach can be effective for solving such nonlinear Schrodinger equations arising in nonlinear optics and physical sciences. https://cmde.tabrizu.ac.ir/article_16192_d872371bcc1e23c05065464e073d905c.pdf