Dynamical behaviors of various optical soliton solutions for the Fokas–Lenells equation
Awatif A. Hendi, Loubna Ouahid, Sachin Kumar, Saud Owyed, M.A. Abdou
Abstract
In this work, the new optical soliton solutions and interaction solutions for the space-time fractional Fokas–Lenells equation with fractional [Formula: see text]-derivatives are constructed via three mathematical analytical techniques, namely the extended SE method, unified solver method, and three-wave methods. The results have proved the efficiency of the suggested techniques for obtaining abundant optical soliton solutions to nonlinear evolution equations (NLEEs) and closed-form solutions in the forms of rational function solutions; hyperbolic and trigonometric function solutions and multi-wave interaction solutions are obtained. These techniques are more efficient, robust, and powerful mathematical tools for acquiring several optical soliton solutions for many other fractional space-time NLEEs that arise in optical physics and plasma physics. The graphical representations of the combined optical solitons are demonstrated using three- and two-dimensional graphics.