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Optical solitons to the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model

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Abstract

This study reaches the dark, bright, mixed dark-bright, singular, mixed singular optical solitons and singular periodic wave solutions to the time-fractional Radhakrishnan–Kundu–Lakshmanan equation. The parametric conditions that guarantee the existence of valid solitons and other solutions are stated. By choosing some suitable values of parameters, the 2- and 3-dimensional surfaces to some of the reported solutions are plotted. The reported solutions may be useful in expalining the physical meaning of the Radhakrishnan–Kundu–Lakshmanan equation and other related nonlinear models arising in nonlinear sciences.

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Authors and Affiliations

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

    Tukur Abdulkadir Sulaiman, Hasan Bulut & Sibel Sehriban Atas

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

    Tukur Abdulkadir Sulaiman

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

    Hasan Bulut & Gulnur Yel

Authors
  1. Tukur Abdulkadir Sulaiman
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  2. Hasan Bulut
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  3. Gulnur Yel
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  4. Sibel Sehriban Atas
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Correspondence to Hasan Bulut.

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Sulaiman, T.A., Bulut, H., Yel, G. et al. Optical solitons to the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. Opt Quant Electron 50, 372 (2018). https://doi.org/10.1007/s11082-018-1641-7

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