A new structure of solutions to the coupled nonlinear Maccari's systems in plasma physics

R. A. Alomair; S. Z. Hassan; Mahmoud A. E. Abdelrahman; R. A. Alomair; S. Z. Hassan; Mahmoud A. E. Abdelrahman

doi:10.3934/math.2022479

AIMS Mathematics

2022, Volume 7, Issue 5: 8588-8606. doi: 10.3934/math.2022479

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Research article

A new structure of solutions to the coupled nonlinear Maccari's systems in plasma physics

1.
Department of Mathematics, College of Science and Humanities, Jubail, Imam Abdulrahman Bin Faisal University, Saudi Arabia
2.
Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
3.
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

Received: 14 December 2021 Revised: 01 February 2022 Accepted: 18 February 2022 Published: 01 March 2022
MSC : 34A34, 35A08, 35C05, 35Q35

The nonlinear Maccari's systems depict the dynamics of isolated waves, detained in a small part of space, in optical communications, hydrodynamics and plasma physics. In this paper, we construct some new solutions for the Maccari's systems, using the unified solver technique based on He's variations technique. These solutions prescribe some vital complex phenomena in plasma physics. The proposed solver will be used as a box solver for considering various models in applied science and new physics. Some graphs are presented in order to display the dynamical behaviour of the gained solutions.
- Maccari's systems,
- unified solver,
- nonlinear waves,
- hyperbolic function solutions,
- physical phenomena
Citation: R. A. Alomair, S. Z. Hassan, Mahmoud A. E. Abdelrahman. A new structure of solutions to the coupled nonlinear Maccari's systems in plasma physics[J]. AIMS Mathematics, 2022, 7(5): 8588-8606. doi: 10.3934/math.2022479

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Abstract

The nonlinear Maccari's systems depict the dynamics of isolated waves, detained in a small part of space, in optical communications, hydrodynamics and plasma physics. In this paper, we construct some new solutions for the Maccari's systems, using the unified solver technique based on He's variations technique. These solutions prescribe some vital complex phenomena in plasma physics. The proposed solver will be used as a box solver for considering various models in applied science and new physics. Some graphs are presented in order to display the dynamical behaviour of the gained solutions.

References

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