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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq

    Hajar F Ismael

  2. Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey

    Hajar F Ismael & Hasan Bulut

  3. Department of Mathematics and Science Education, Faculty of Education, Harran University, Şanlıurfa, 63190, Turkey

    Haci Mehmet Baskonus

Authors
  1. Hajar F Ismael
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  2. Hasan Bulut
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  3. Haci Mehmet Baskonus
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Correspondence to Hajar F Ismael.

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Ismael, H.F., Bulut, H. & Baskonus, H.M. Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and \((m+({G'}/{G}))\)-expansion method. Pramana - J Phys 94, 35 (2020). https://doi.org/10.1007/s12043-019-1897-x

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  • DOI: https://doi.org/10.1007/s12043-019-1897-x

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