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

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    Massoomah Sadaf, Saima Arshed, Ghazala Akram & Ejaz Husaain

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  1. Massoomah Sadaf
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  2. Saima Arshed
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  3. Ghazala Akram
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  4. Ejaz Husaain
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Contributions

MS participated in the conceptualization, data curation, investigation, methodology, software implementation, validation, visualization and writing the original draft. SA participated in the conceptualization, administration, validation, visualization and writing of the manuscript. GA participated in the formal analysis, investigation, supervision, review and editing of the manuscript. EH participated in the data curation, formal analysis, software and writing of the original draft. All authors read and approved the final manuscript.

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Correspondence to Massoomah Sadaf.

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Sadaf, M., Arshed, S., Akram, G. et al. Dynamical behavior of nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order dispersion in optical pulse propagation. Opt Quant Electron 55, 1207 (2023). https://doi.org/10.1007/s11082-023-05389-1

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