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Dynamical study of a time fractional nonlinear Schrödinger model in optical fibers

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Abstract

In this work, the optical soliton solutions of the time-fractional nonlinear Schrödinger (NLS) model have been presented. For this purpose, we use the generalized exponential rational function method (GERFM). The NLS model plays a significant role in illustrating the specific explosion of short pulses in optical fibres. In addition, it has applications in a telecommunication system. Trigonometric solutions like dark, bright, kink, and anti-kink type optical soliton solutions get using the proposed method. For physical significance, 2D, 3D, and contour-type graphs draw with the help of Mathematica for different parameters. We conclude that the computational approach is efficient and widely suitable for finding analytical solutions to complex nonlinear problems appearing in the recent era of nonlinear optics.

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Acknowledgements

The authors extend their appreciation to the Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia for funding this research (IFKSURC-1-7108).

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan

    Muhammad Shakeel & Aysha Bibi

  2. New Emerging Technologies and 5G Network and Beyond Research Chair, Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia

    Salman A. AlQahtani

  3. Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia

    Abdulaziz M. Alawwad

Authors
  1. Muhammad Shakeel
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  2. Aysha Bibi
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  3. Salman A. AlQahtani
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  4. Abdulaziz M. Alawwad
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Contributions

MS Methodology, Writing—Original Draft, Conceptualization, Formal analysis, AB Conceptualization, Methodology, SAQ Methodology, Formal analysis, AMA Review and Editing.

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Correspondence to Muhammad Shakeel or Salman A. AlQahtani.

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Shakeel, M., Bibi, A., AlQahtani, S.A. et al. Dynamical study of a time fractional nonlinear Schrödinger model in optical fibers. Opt Quant Electron 55, 1010 (2023). https://doi.org/10.1007/s11082-023-05301-x

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