Quiescent Optical Soliton Perturbation for Fokas-Lenells Equation with Nonlinear Chromatic Dispersion and Generalized Quadratic-Cubic Form of Self-Phase Modulation Structure

Authors

  • Ahmed M. Elsherbeny Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, 11517, Cairo, Egypt
  • Muhammad Amin S. Murad Department of Mathematics, College of Science, University of Duhok, Duhok, Iraq
  • Ahmed H. Arnous Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt
  • Anjan Biswas Department of Mathematics and Physics, Grambling State University, Grambling, LA, 71245-2715, USA https://orcid.org/0000-0002-8131-6044
  • Luminita Moraru Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania
  • Yakup Yildirim Department of Computer Engineering, Biruni University, Istanbul, 34010, Turkey

DOI:

https://doi.org/10.37256/cm.6220256359

Keywords:

solitons, self-phase modulation, chromatic dispersion

Abstract

This paper retrieves perturbed quiescent optical solitons for the Fokas-Lenells equation that is considered with generalized quadratic-cubic form of self-phase modulation and nonlinear chromatic dispersion. The model is taken up with linear temporal evolution as well as with generalized temporal evolution. Two integration approaches are implemented to make this retrieval possible. The enhanced Kudryashov’s approach and the projective Riccati equation scheme recovers a wide range of such solitons. The numerical scheme displays a few simulations to such solitons.

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Published

2025-04-03

How to Cite

1.
Elsherbeny AM, Murad MAS, Arnous AH, Biswas A, Moraru L, Yildirim Y. Quiescent Optical Soliton Perturbation for Fokas-Lenells Equation with Nonlinear Chromatic Dispersion and Generalized Quadratic-Cubic Form of Self-Phase Modulation Structure. Contemp. Math. [Internet]. 2025 Apr. 3 [cited 2025 Apr. 9];6(2):2308-3. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6359

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