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Ion-acoustic stable oscillations, solitary, periodic and shock waves in a quantum magnetized electron–positron–ion plasma

  • Ahmed Atteya , Mohamed A. El-Borie , Gamal D. Roston , Abdel-Aziz Samir El-Helbawy , Punam Kumari Prasad ORCID logo and Asit Saha ORCID logo EMAIL logo
Published/Copyright: July 2, 2021
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 76 Issue 9

Abstract

Nonlinear stable oscillations, solitary, periodic and shock waves in electron–positron–ion (EPI) quantum plasma in the presence of an external static magnetic field are reported. The Korteweg-de Vries-Burgers (KdVB) equation is derived by the reductive perturbation technique (RPT). The wave solution gives shock waves depending on various parameters as quantum diffraction parameter (β), electron and positron Fermi temperatures, and densities of the system species. Amplitude, polarity, speed, and width of wave solutions are remarkably modified by species densities, kinematic viscosity, and the Bohm potential. Existence of stable oscillation of ion-acoustic waves (IAWs) is shown by using the concept of phase plane analysis. Stability of wave solution is analysed by examining the Bohm potential effect. In the absence of dissipation, phase plane of the considered plasma system is analysed to discuss the existence of periodic wave solution. The results of this study could be helpful for comprehension of the wave features in dense quantum plasmas, like white dwarfs, laboratory plasma as interaction experiments of intense laser-solid matter and microelectronic devices.

Keywords: ion-acoustic solitary wave; kinematic viscosity; shock wave; the KdV-Burgers equation
Corresponding author: Asit Saha, Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim 737136, India, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: Dr. Asit Saha is thankful to SMIT (SMU) for research funding.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-03-04
Revised: 2021-05-22
Accepted: 2021-05-30
Published Online: 2021-07-02
Published in Print: 2021-09-27

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Chemical Physics
  3. Chirp waveform control to produce broad harmonic plateau and single attosecond pulse
  4. Dynamical Systems & Nonlinear Phenomena
  5. Ion-acoustic stable oscillations, solitary, periodic and shock waves in a quantum magnetized electron–positron–ion plasma
  6. Nonlinear forced vibration of rotating composite laminated cylindrical shells under hygrothermal environment
  7. Vibration characteristics and stable region of a parabolic FGM thin-walled beam with axial and spinning motion
  8. Hydrodynamics
  9. Curvilinear flow of micropolar fluid with Cattaneo–Christov heat flux model due to oscillation of curved stretchable sheet
  10. Quantum Theory
  11. Accuracy of the typicality approach using Chebyshev polynomials
  12. Solid State Physics & Materials Science
  13. Impact of Sn ions on structural and electrical description of TiO2 nanoparticles
  14. The effect of non-bridging oxygen on the electrical transport of some lead borate glasses containing cobalt
  15. Thermodynamics & Statistical Physics
  16. Analytical solution for unsteady adiabatic and isothermal flows behind the shock wave in a rotational axisymmetric mixture of perfect gas and small solid particles
https://doi.org/10.1515/zna-2021-0060
Keywords for this article
ion-acoustic solitary wave; kinematic viscosity; shock wave; the KdV-Burgers equation

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Chemical Physics
  3. Chirp waveform control to produce broad harmonic plateau and single attosecond pulse
  4. Dynamical Systems & Nonlinear Phenomena
  5. Ion-acoustic stable oscillations, solitary, periodic and shock waves in a quantum magnetized electron–positron–ion plasma
  6. Nonlinear forced vibration of rotating composite laminated cylindrical shells under hygrothermal environment
  7. Vibration characteristics and stable region of a parabolic FGM thin-walled beam with axial and spinning motion
  8. Hydrodynamics
  9. Curvilinear flow of micropolar fluid with Cattaneo–Christov heat flux model due to oscillation of curved stretchable sheet
  10. Quantum Theory
  11. Accuracy of the typicality approach using Chebyshev polynomials
  12. Solid State Physics & Materials Science
  13. Impact of Sn ions on structural and electrical description of TiO2 nanoparticles
  14. The effect of non-bridging oxygen on the electrical transport of some lead borate glasses containing cobalt
  15. Thermodynamics & Statistical Physics
  16. Analytical solution for unsteady adiabatic and isothermal flows behind the shock wave in a rotational axisymmetric mixture of perfect gas and small solid particles
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