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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/096/0026

    • Keywords

       

      Travelling wave solutions; M-fractional derivative; solitons.

    • Abstract

       

      Based on two algorithm integrations, such as the exp(−$\phi$(ξ))-expansion method and the hyperbolic function method, we build dark, bright and trigonometric function solution to the Klein–Gordon equations with M-fractional derivative of order α. By adopting the travelling-wave transformation, the constraint condition between the model coefficients and the travelling-wave frequency coefficient for the existence of soliton solutions is also obtained. Moreover, miscellaneous soliton solutions obtained is depicted in 3D and 2D.

    • Author Affiliations

       

      ALPHONSE HOUWE1 HADI REZAZADEH2 AHMET BEKIR3 SERGE Y DOKA4

      1. Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon
      2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran
      3. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030 Eskisehir, Turkey
      4. Department of Physics, Faculty of Science, The University of Ngaoundere, Ngaoundere, Cameroon

    • Dates

       
      Published
      13 January 2022
      Manuscript received
      9 May 2021
      Accepted
      23 August 2021
      Final version published online
      13 January 2022

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