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Exact soliton solutions to the time-fractional Kudryashov model via an efficient analytical approach

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Abstract

This study is about some new optical wave solutions to the time-fractional Kudryashov equation. The obtained solutions may be applied to demonstrate the nonlinear fractional model in a better way. These solutions are in the form of dark, singular, singular-dark solitons and other solutions with certain conditions. The obtained results were verified using Mathematica software. Modified integration method, the extended Jacobi’s elliptic expansion functions method, is utilised to secure the aforesaid solutions. These optical solitons suggest that this method is effective, straightforward and reliable compared to other methods.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari, Pakistan

    Muhammad Raheel & Asim Zafar

  2. Department of Mathematics and Statistics, Institute of Southern Punjab, Multan, Pakistan

    Muhammad Raheel

  3. Department of English, Institute of Southern Punjab, Multan, Pakistan

    Muhammad Sarfraz Nawaz

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

    Ahmet Bekir

  5. Department of Mathematics, Mirpur University of Science and Technology, Mirpur, 10250, Pakistan

    Kalim U Tariq

Authors
  1. Muhammad Raheel
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  2. Asim Zafar
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  3. Muhammad Sarfraz Nawaz
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  4. Ahmet Bekir
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  5. Kalim U Tariq
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Corresponding author

Correspondence to Ahmet Bekir.

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Raheel, M., Zafar, A., Nawaz, M.S. et al. Exact soliton solutions to the time-fractional Kudryashov model via an efficient analytical approach. Pramana - J Phys 97, 45 (2023). https://doi.org/10.1007/s12043-023-02514-3

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  • DOI: https://doi.org/10.1007/s12043-023-02514-3

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