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On the bright and singular optical solitons to the (\(2+1\))-dimensional NLS and the Hirota equations

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Abstract

This study constructs bright and singular optical solitons the (\(2+1\))-dimensional NLSE and the Hirota equation by utilizing the new sine-Gordon expansion method. The parametric conditions for the existence of valid solitons are given. We give the variations of solitary and periodic wave solutions that depend on the parameters. We present the 2D, 3D and contour graphs to represent the kind of solutions secured in this study.

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Authors and Affiliations

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

    Hasan Bulut & Tukur Abdulkadir Sulaiman

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

    Haci Mehmet Baskonus

  3. Department of Mathematics, Ordu University, Ordu, Turkey

    Tolga Aktürk

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  1. Hasan Bulut
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  2. Tukur Abdulkadir Sulaiman
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  3. Haci Mehmet Baskonus
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  4. Tolga Aktürk
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Correspondence to Tukur Abdulkadir Sulaiman.

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Bulut, H., Sulaiman, T.A., Baskonus, H.M. et al. On the bright and singular optical solitons to the (\(2+1\))-dimensional NLS and the Hirota equations. Opt Quant Electron 50, 134 (2018). https://doi.org/10.1007/s11082-018-1411-6

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  • DOI: https://doi.org/10.1007/s11082-018-1411-6

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