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

doi:10.3934/math.2022479

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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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.

Original language	English
Pages (from-to)	8588-8606
Number of pages	19
Journal	AIMS Mathematics
Volume	7
Issue number	5
DOIs	https://doi.org/10.3934/math.2022479
State	Published - 2022

Keywords

Hyperbolic function solutions
Maccari’s systems
Nonlinear waves
Physical phenomena
Unified solver

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10.3934/math.2022479

Cite this

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title = "A new structure of solutions to the coupled nonlinear Maccari{\textquoteright}s systems in plasma physics",

abstract = "The nonlinear Maccari{\textquoteright}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{\textquoteright}s systems, using the unified solver technique based on He{\textquoteright}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.",

keywords = "Hyperbolic function solutions, Maccari{\textquoteright}s systems, Nonlinear waves, Physical phenomena, Unified solver",

author = "Alomair, \{R. A.\} and Hassan, \{S. Z.\} and Abdelrahman, \{Mahmoud A.E.\}",

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AU - Hassan, S. Z.

AU - Abdelrahman, Mahmoud A.E.

PY - 2022

Y1 - 2022

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AB - 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.

KW - Hyperbolic function solutions

KW - Maccari’s systems

KW - Nonlinear waves

KW - Physical phenomena

KW - Unified solver

UR - https://www.scopus.com/pages/publications/85126857805

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JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 5

ER -

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

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Keywords

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