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New diverse exact optical solutions of the three dimensional Zakharov–Kuznetsov equation

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Abstract

In our current article, we establish four new types of group for the optical soliton solutions to the three dimensional modified Zakharov–Kuznetsov equation’s new model. Four distinct and impressive techniques are used for this target, which are the extended simple equation method (ESEM), the extended direct algebraic method (EDAM), the \(\left( {\frac{{G^{\prime}}}{G}} \right)\)—expansion method and the Paul-Painleve approach method (PPAM). The four suggested techniques are discovered recently to derive the exact solutions for many other NLPDE that arising in various branches of science and usually give good results. These techniques have been used for the first time to extract the soliton solutions of this model. The four employed methods are applied serially and in the same time. Our solutions weren’t achieved previously via any other authors who applied any other methods.

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Authors and Affiliations

  1. Departments of Basic Science, Benha University, Faculty of Engineering, Shubra, Egypt

    Emad H. M. Zahran & R. A. Ibrahim

  2. Department of Medical Diagnostic Imaging, College of Health Science, University of Sharjah, Sharjah, UAE

    Dilber Uzun Ozsahin

  3. Research Institute for Medical and Health Sciences, University of Sharjah, Sharjah, UAE

    Dilber Uzun Ozsahin

  4. Operational Research Centre in Healthcare, Near East University, TRNC Mersin 10, Nicosia, 99138, Turkey

    Dilber Uzun Ozsahin & Hijaz Ahmad

  5. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Hijaz Ahmad

  6. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio, Emanuele II, 39, 00186 Roma, Italy

    Hijaz Ahmad

  7. Departments of Mathematics, Zagazig University, Faculty of Science, Zagazig, 44519, Egypt

    Maha S. M. Shehata

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  1. Emad H. M. Zahran
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  2. R. A. Ibrahim
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  3. Dilber Uzun Ozsahin
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  4. Hijaz Ahmad
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Correspondence to Hijaz Ahmad.

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Zahran, E.H.M., Ibrahim, R.A., Ozsahin, D.U. et al. New diverse exact optical solutions of the three dimensional Zakharov–Kuznetsov equation. Opt Quant Electron 55, 817 (2023). https://doi.org/10.1007/s11082-023-04909-3

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