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

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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Publication Details

Journal
Contemporary Mathematics
Published
2025-04-03
DOI
https://doi.org/10.37256/cm.6220256359
Citations
6
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
7.94
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article

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

Yakup Yıldırım, Anjan Biswas, Ahmed H. Arnous, Luminița Moraru et al.
6 citations
Contemporary Mathematics
Nonlinear Waves and Solitons
7.94
article

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

Yakup Yıldırım, Anjan Biswas, Ahmed H. Arnous, Luminița Moraru, Muhammad Amin S. Murad, Ahmed M. Elsherbeny
article en
6 citations

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.

Contemporary Mathematics
Ain Shams University (EG), Grambling State University (US), El Shorouk Academy (EG), "Dunarea de Jos" University of Galati (RO), Biruni University (TR), Higher Institute of Engineering (EG), University of Duhok (IQ)
Openalex Percentile: Top 3%
Nonlinear Waves and Solitons
7.94
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