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On some novel optical wave solutions to the paraxial M-fractional nonlinear Schrödinger dynamical equation

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Abstract

The focus of this article is to find some new exact solutions to the M-fractional paraxial nonlinear Schrödinger equation with Kerr media by employing the modified simple equation method and the auxiliary equation method. A set of novel travelling wave solutions are observed such as bright, dark, periodic and optical solitons. Moreover, the physical interpretation of nonlinear waves would also be demonstrated with the aid of scientific computing.

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Acknowledgements

This Research was supported by Taif University Researchers Supporting Project No. (TURSP-2020/48), Taif University, Taif, Saudi Arabia.

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Authors and Affiliations

  1. Department of Mathematics, Mirpur University of Science and Technology, Mirpur, AJK, Pakistan

    Kalim U. Tariq & H. Zainab

  2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

  3. PUCIT, University of the Punjab, Lahore, Pakistan

    M. Younis

  4. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan

    S. T. R. Rizvi

  5. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    Abd Allah A. Mousa

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  1. Kalim U. Tariq
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  2. H. Zainab
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  4. M. Younis
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  5. S. T. R. Rizvi
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Correspondence to Aly R. Seadawy.

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Tariq, K.U., Zainab, H., Seadawy, A.R. et al. On some novel optical wave solutions to the paraxial M-fractional nonlinear Schrödinger dynamical equation. Opt Quant Electron 53, 219 (2021). https://doi.org/10.1007/s11082-021-02855-6

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