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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 13/2023

01.12.2023

Dynamical behavior of nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order dispersion in optical pulse propagation

verfasst von: Massoomah Sadaf, Saima Arshed, Ghazala Akram, Ejaz Husaain

Erschienen in: Optical and Quantum Electronics | Ausgabe 13/2023

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Abstract

In this article, the nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order dispersion is theoretically investigated. The considered equation is a modified form of Fokas–Lenells equation and provides a useful description of optical pulse propagation through optical fibers in many problems of nonlinear optics. The application of modified auxiliary equation approach and extended \((\frac{G'}{G^{2}})\)-expansion has allowed the extraction of precise closed form solutions to the equation. The obtained solution expressions are in terms of trigonometric functions, hyperbolic functions and rational functions. The graphical properties of the developed solutions are also observed in this process by plotting 3D surface graphs, contour plots and line graphs for different values of parameters. The considered model is examined for the first time in this work using the proposed techniques and novel results are observed. The reported results include a variety of dynamical behavior for the considered equation which will be helpful in further explorations to understand wave propagation through optical fibers and nonlinear optics. The constructed bright solitons are particularly beneficial in data communication through fibers in nonlinear optics.
Vorheriger Artikel Optimization of IoT circuit for flexible optical network system with high speed utilization
Nächster Artikel Exact solutions of the fractional resonant nonlinear Schrödinger equation

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Metadaten
Titel
Dynamical behavior of nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order dispersion in optical pulse propagation
verfasst von
Massoomah Sadaf
Saima Arshed
Ghazala Akram
Ejaz Husaain
Publikationsdatum
01.12.2023
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 13/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05389-1

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