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    • Solitons in conformable time-fractional Wu–Zhang system arising in coastal design

      GULNUR YEL HACI MEHMET BASKONUS

      Research Article Volume 93 Issue 4 October 2019 Article ID 0057

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/093/04/0057

    • Keywords

       

      Soliton solutions; nonlinear dynamics; conformable fractional derivative; Wu–Zhang system; modified exp($−\Omega(\zeta)$)-expansion function method

    • Abstract

       

      The modified exp($−\Omega(\zeta)$)-expansion function method is applied to the Wu–Zhang system with conformable time-fractional derivative to construct new analytical solutions. We have obtained some soliton-type solutions such as dark, singular and combined soliton solutions. We have seen that all solutions have provided the mentioned equation system. For the suitable value of the solutions, the 2D–3D and contour surfaces have been plotted.

    • Author Affiliations

       

      GULNUR YEL1 HACI MEHMET BASKONUS2

      1. Faculty of Educational Sciences, Final International University, Kyrenia Mersin 10, Turkey
      2. Faculty of Education, Harran University, Sanlıurfa, Turkey

    • Dates

       
      Published
      1 October 2019
      Manuscript received
      24 October 2018
      Manuscript revised
      2 April 2019
      Accepted
      12 April 2019
      Early published
      Unedited version published online
      Final version published online
      16 July 2019

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      Posted on July 25, 2019

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