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Abundant novel wave solutions of nonlinear Klein–Gordon–Zakharov (KGZ) model

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Abstract

In this manuscript, the computational solutions of the nonlinear Klein–Gordon–Zakharov (KGZ) model are scrutinized through a new generalized analytical scheme. This mathematical model describes the evolution of strong Langmuir turbulence in plasma physics. Many distinctive solutions are obtained, such as linear, rational, hyperbolic, parabolic, and so on. 2D, 3D, contour, stream plots are plotted to demonstrate further physical and dynamical attitudes of the investigated model. The power, usefulness, and accuracy of the compensated schemes are revealed and tested. The capabilities for managing a class of nonlinear evolution equations of the new generalized method is assessed. Moreover, the stability property of the obtained solutions is checked by using the Hamiltonian system’s characteristics.

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Acknowledgements

This Research was supported by Taif University Researchers Supporting Project Number (TURSP-2020/48), Taif University, Taif, Saudi Arabia.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, 212013, China

    Mostafa M. A. Khater

  2. Department of Mathematics, Obour High Institute for Engineering and Technology, Cairo, 11828, Egypt

    Mostafa M. A. Khater

  3. Department of Mathematics, Faculty of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    A. A. Mousa

  4. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia

    M. A. El-Shorbagy

  5. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, 32511, Egypt

    M. A. El-Shorbagy

  6. Department of Basic Science, Higher Technological Institute, 10th of Ramadan City, 44634, Egypt

    Raghda A. M. Attia

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  1. Mostafa M. A. Khater
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Correspondence to Mostafa M. A. Khater.

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Khater, M.M.A., Mousa, A.A., El-Shorbagy, M.A. et al. Abundant novel wave solutions of nonlinear Klein–Gordon–Zakharov (KGZ) model. Eur. Phys. J. Plus 136, 604 (2021). https://doi.org/10.1140/epjp/s13360-021-01385-0

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