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Extraction of new super-Gaussian solitons via collective variables

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Abstract

The present study implements the collective variable (CV) approach to examine an important Schrödinger equation known as the Fokas-Lenells equation which expresses the dynamics of solitons for optical fibers in terms of pulse parameters known as collective variables (CVs). This technique is straightforward and powerful for soliton solution extraction. A well-known numerical scheme that is the fourth-order Runge-Kutta method is exerted for the numerical simulation of the revealing coupled system of six ordinary differential equations which represent all the CVs include in the pulse ansatz. The evolution of pulse parameters along the propagation distance is determined via the CV method. Graphical illustration for the CVs such as the temporal position, amplitude, width, chirp, phase and frequency of the pulse versus the propagation coordinate is given. Furthermore, graphs show the compelling periodic oscillations of pulse chirp, width, frequency and amplitude of soliton. The numerical behavior of solitons to display variations in collective variables is also provided for different values of super-Gaussian pulse parameters. Other significant features with regards to the current study are also inferred.

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Acknowledgements

José Francisco Gómez Aguilar acknowledges the support provided by CONACyT: cátedras CONACyT para jóvenes investigadores 2014 and SNI-CONACyT.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan

    Nauman Raza & Zara Hassan

  2. CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca Morelos, México

    J. F. Gómez-Aguilar

  3. Universidad Tecnológica de México, UNITEC MÉXICO-Campus En Línea, México, México

    J. F. Gómez-Aguilar

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  1. Nauman Raza
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  2. Zara Hassan
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  3. J. F. Gómez-Aguilar
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Correspondence to J. F. Gómez-Aguilar.

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Raza, N., Hassan, Z. & Gómez-Aguilar, J.F. Extraction of new super-Gaussian solitons via collective variables. Opt Quant Electron 53, 468 (2021). https://doi.org/10.1007/s11082-021-03125-1

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