AIMS Mathematics (Mar 2022)

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
https://doi.org/10.3934/math.2022479
Journal volume & issue
Vol. 7, no. 5
pp. 8588 – 8606

Abstract

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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.

Keywords