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ORIGINAL RESEARCH article

Front. Phys.
Sec. Quantum Engineering and Technology
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1427827

Dynamical analysis and soliton solutions of a variety quantum nonlinear Zakharov-Kuznetsov models via three analytical techniques

Provisionally accepted
Abdullah A. Zaagan Abdullah A. Zaagan 1Ali Altalbe Ali Altalbe 2Ahmet Bekir Ahmet Bekir 3*
  • 1 Jazan University, Jizan, Saudi Arabia
  • 2 Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia
  • 3 Independent researcher, Eskisehir, Türkiye

The final, formatted version of the article will be published soon.

    Some new types of truncated M-fractional exact soliton solutions of the two important quantum plasma physics models; extended quantum Zakharov-Kuznetsov and extended quantum nonlinear Zakharov-Kuznetsov are successfully achieved by applying the exp a function technique, improved (G ′ /G)-expansion technique and Sardar sub-equation technique. These two models have many useful uses to explain the waves in the quantum electron-positron-ion magnetoplasmas as well as weakly non-linear ion-acoustic waves in plasma. The obtained results are in the form of dark, bright, periodic and other soliton solutions. The results are verified as well as represented by two-dimensional, three-dimensional and contour graphs. The results are newer than the existing results in the literature due to the use of fractional derivatives. Hence, the solutions are fruitful in future studies for these models. The obtained solutions are useful in the areas of Applied Physics, Applied Mathematics, Dynamical Systems, Nonlinear waves in Plasmas, and in dense space plasma. At the end, the applied techniques are simple, fruitful and reliable for solving the other models in mathematical physics.

    Keywords: Quantum plasma physics models, exp a function technique, Improved (G ′ /G)expansion technique, Sardar sub-equation technique, Exact soliton solutions

    Received: 04 May 2024; Accepted: 24 Sep 2024.

    Copyright: © 2024 Zaagan, Altalbe and Bekir. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Ahmet Bekir, Independent researcher, Eskisehir, Türkiye

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