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Cubic-quartic optical soliton solutions in fiber Bragg gratings with Lakshmanan–Porsezian–Daniel model by two integration schemes

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Abstract

In this paper, we introduce the fiber Bragg gratings for cubic-quartic perturbed Lakshmanan–Porsezian–Daniel equation with Kerr law nonlinearity. Two mathematical methods, namely, the modified Kudryashov’s method and the addendum to Kudryashov’s method are applied to obtain optical soliton solutions to this equation. Dark soliton, bright soliton and singular soliton solutions have been found. The comparative analysis of the two proposed methods shows that the first method gives the dark and singular solitons while the second method gives the bright and singular solitons.

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Acknowledgements

The research work of the third author was supported by Taif University Researchers supporting project number (TURSP-2020/16), Taif University, Saudi Arabia.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

    Elsayed M. E. Zayed, Reham M. A. Shohib & Mohamed E. M. Alngar

  2. Department of Mathematics, College of Science, Taif University, P.O.BOX 11099, Taif, 21944, Saudi Arabia

    Taher A. Nofal & Khaled A. Gepreel

Authors
  1. Elsayed M. E. Zayed
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  2. Taher A. Nofal
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  3. Khaled A. Gepreel
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  4. Reham M. A. Shohib
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  5. Mohamed E. M. Alngar
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Correspondence to Mohamed E. M. Alngar.

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Zayed, E.M.E., Nofal, T.A., Gepreel, K.A. et al. Cubic-quartic optical soliton solutions in fiber Bragg gratings with Lakshmanan–Porsezian–Daniel model by two integration schemes. Opt Quant Electron 53, 249 (2021). https://doi.org/10.1007/s11082-021-02907-x

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