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Optical solitons and other solutions to the conformable space–time fractional complex Ginzburg–Landau equation under Kerr law nonlinearity

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Abstract

This study reveals the dark, bright, combined dark–bright, singular, combined singular optical solitons and singular periodic solutions to the conformable space–time fractional complex Ginzburg–Landau equation. We reach such solutions via the powerful extended sinh-Gordon equation expansion method (ShGEEM). Constraint conditions that guarantee the existence of valid solitary wave solutions are given. Under suitable choice of the parameter values, interesting three-dimensional graphs of some of the obtained solutions are plotted.

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Authors and Affiliations

  1. Department of Mathematics, Firat University, Elazig, Turkey

    Tukur Abdulkadir Sulaiman & Hasan Bulut

  2. Department of Mathematics, Federal University, Dutse, Jigawa State, Nigeria

    Tukur Abdulkadir Sulaiman

  3. Department of Computer Engineering, Munzur University, Tunceli, Turkey

    Haci Mehmet Baskonus

  4. Department of Mathematics Education, Final International University, Kyrenia, Cyprus

    Hasan Bulut

Authors
  1. Tukur Abdulkadir Sulaiman
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  2. Haci Mehmet Baskonus
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  3. Hasan Bulut
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Correspondence to Tukur Abdulkadir Sulaiman.

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Sulaiman, T.A., Baskonus, H.M. & Bulut, H. Optical solitons and other solutions to the conformable space–time fractional complex Ginzburg–Landau equation under Kerr law nonlinearity. Pramana - J Phys 91, 58 (2018). https://doi.org/10.1007/s12043-018-1635-9

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  • DOI: https://doi.org/10.1007/s12043-018-1635-9

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