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On the solitonic wave structures for the perturbed nonlinear Schrödinger equation arising in optical fibers

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Abstract

A broad spectrum of opportunities for ultrafast information processing and light pulses in communications has sparked a lot of interest in the field of wave propagation in nonlinear fibers. In this work, some new analytical soliton solutions to the perturbed nonlinear Schrödinger equation are constructed. To illustrate several soliton solutions for various parameter values, 3D simulations were carried out. Dark, bright, optical, solitary, and other solitons are also retrieved. We were able to create multiple single-type solutions using these methods. The observed results are especially intriguing since they give researchers a better computational tool for developing numerous travelling wave solutions to nonlinear equations that have recently appeared in diverse disciplines of science and engineering. A variety of optical, bell-shaped, singular, periodic, and multiple periodic solutions are produced as a result. The stability of the results is also proven in order to validate the computations. The study provides a highly spectacular and acceptable way to mix many fascinating wave displays for more complex current period models. We can also claim that the outcome we’re talking about is fresh and original.

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Acknowledgements

F.B. acknowledges the financial support provided by Hubei University of Automotive Technology in the form of a start-up research grant (BK202212).

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Hubei University of Automotive Technology, Shiyan, 442002, People’s Republic of China

    Fazal Badshah

  2. Department of Mathematics, Mirpur University of Science and Technology, Mirpur, 10250, (AJK), Pakistan

    Kalim U. Tariq

  3. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey

    Ahmet Bekir

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  1. Fazal Badshah
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  2. Kalim U. Tariq
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  3. Ahmet Bekir
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Contributions

FB: Identification of the research problem, review and editing, and drafting of the manuscript. KUT: Methodology, conceptualization, validation, Formal analysis and investigation, writing original draft, Graphical Visualizations. AB: Supervision, Project administration.

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Correspondence to Kalim U. Tariq or Ahmet Bekir.

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Badshah, F., Tariq, K.U. & Bekir, A. On the solitonic wave structures for the perturbed nonlinear Schrödinger equation arising in optical fibers. Opt Quant Electron 56, 127 (2024). https://doi.org/10.1007/s11082-023-05625-8

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