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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/097/0045

    • Keywords

       

      Kudryashov equation; truncated M-fractional derivative; extended Jacobi’s elliptic expansion functions method; new exact solutions.

    • 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 iseffective, straightforward and reliable compared to other methods.

    • Author Affiliations

       

      MUHAMMAD RAHEEL1 2 ASIM ZAFAR1 MUHAMMAD SARFRAZ NAWAZ3 AHMET BEKIR4 KALIM U TARIQ5

      1. Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari, Pakistan
      2. Department of Mathematics and Statistics, Institute of Southern Punjab, Multan, Pakistan
      3. Department of English, Institute of Southern Punjab, Multan, Pakistan
      4. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, Eskisehir 26030, Turkey
      5. Department of Mathematics, Mirpur University of Science and Technology, Mirpur 10250, Pakistan

    • Dates

       
      Published
      28 February 2023
      Manuscript received
      5 March 2022
      Manuscript revised
      29 September 2022
      Accepted
      21 October 2022
      Final version published online
      28 February 2023

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