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      New optical soliton solutions and dynamical wave formations for a fractionally perturbed Chen-Lee-Liu (CLL) equation with a novel local fractional (NLF) derivative

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          Abstract

          In this work, we use a novel fractional-order derivative for the fractionally perturbed Chen–Lee–Liu nonlinear equation. The new extended hyperbolic function (EHF) method is applied for obtaining new optical soliton solutions of the mentioned equation. Three-dimensional graphics and projection 3D plots are used for showing the dynamic wave formations of the soliton solutions. Then, we contrast our findings with the earlier existing results for the nonlinearly perturbed CCL. The generated solutions show that the extended hyperbolic function (EHF) method for finding soliton solutions to highly nonlinear equations is productive, suitable, and competent in optical fibers, fractional calculus, and nonlinear sciences.

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          On conformable fractional calculus

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            Stability analysis for Zakharov–Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma

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              Lump and Interaction solutions of a geophysical Korteweg–de Vries equation

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                Author and article information

                Contributors
                Journal
                Modern Physics Letters B
                Mod. Phys. Lett. B
                World Scientific Pub Co Pte Ltd
                0217-9849
                1793-6640
                September 10 2023
                June 08 2023
                September 10 2023
                : 37
                : 25
                Affiliations
                [1 ]Physics Department, College of Science, University of Bisha, Bisha 61922, P.O. Box 344, Kingdom of Saudi Arabia
                [2 ]Department of Physics, College of Science, Princess Nourahbint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
                [3 ]Department of Mathematics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia
                [4 ]Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110007, India
                Article
                10.1142/S0217984923500896
                f52e2d46-be8c-425a-a823-5343aedc072f
                © 2023
                History

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