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

Author:

Ouahid Loubna1,Alanazi Meznah M.2,Shahrani Jameelah S. Al3,Abdou M. A.1,Kumar Sachin4ORCID

Affiliation:

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

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.

Funder

Princess Nourahbint Abdulrahman University Researchers

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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