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    • Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and $(m + (G'/G))$-expansion method

      HAJAR F ISMAEL HASAN BULUT HACI MEHMET BASKONUS

      Research Article Volume 94 Published: 30 January 2020 Article ID 0035

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0035

    • Keywords

       

      Optical soliton solutions; Fokas–Lenells equation; sine-Gordon expansion method; $(m + (G'/G))$ method

    • Abstract

       

      The purpose of this study is to find some novel soliton solutions of Fokas–Lenells (FL) equation where the perturbation terms are taken into account with nonlinearity. The sine-Gordon expansion method (SGEM) and the $(m + (G'/G))$-expansion method are used in this context. The dark, bright, dark–bright and singular optical soliton solutions are successfully obtained. Moreover, the constraint conditions for guaranteeing the existence of solutions are also given.

    • Author Affiliations

       

      HAJAR F ISMAEL1 2 HASAN BULUT2 HACI MEHMET BASKONUS3

      1. Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
      2. Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey
      3. Department of Mathematics and Science Education, Faculty of Education, Harran University, ¸ Sanlıurfa 63190, Turkey

    • Dates

       
      Published
      30 January 2020
      Manuscript received
      6 June 2019
      Manuscript revised
      15 October 2019
      Accepted
      4 November 2019
      Early published
      Unedited version published online
      Final version published online
      30 January 2020

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      Posted on July 25, 2019

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