https://doi.org/10.1140/epjp/s13360-021-01385-0
Regular Article
Abundant novel wave solutions of nonlinear Klein–Gordon–Zakharov (KGZ) model
1
Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China
2
Department of Mathematics, Obour High Institute for Engineering and Technology, 11828, Cairo, Egypt
3
Department of Mathematics, Faculty of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia
4
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, 11942, Al-Kharj, Saudi Arabia
5
Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, 32511, Shebin El-Kom, Egypt
6
Department of Basic Science, Higher Technological Institute, 44634, 10th of Ramadan City, Egypt
a
mostafa.khater2024@yahoo.com
Received:
24
November
2020
Accepted:
30
March
2021
Published online:
31
May
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
