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Dynamical behaviors of various optical soliton solutions for the Fokas–Lenells equation

    https://doi.org/10.1142/S0217984921505291Cited by:22 (Source: Crossref)

    In this work, the new optical soliton solutions and interaction solutions for the space-time fractional Fokas–Lenells equation with fractional M-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.

    PACS: 02.20.Sv, 05.45.Yv, 02.30.Jr, 47.35.Fg

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