10.57647/jtap.2026.2001.03

Ion-Acoustic Wave Structures in a Collisionless ‎Magnetised Plasma Considering (r, q)-‎Distributed Electrons and k-Distributed ‎Positrons

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  • Jintu Ozah*1,
  • P.N. Deka2,
  1. Department of Mathematics, Sibsagar University, Sivasagar-785665, Assam, India.‎
  2. ‎Department of Mathematics, Dibrugarh University, Dibrugarh-786004, Assam, India.‎

Received: 2025-07-27

Revised: 2025-08-22

Accepted: 2025-10-25

Published in Issue 2026-02-28

Published Online: 2025-12-06

Copyright (c) 2025 Jintu Ozah, P.N. Deka (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Ozah J, Deka P. Ion-Acoustic Wave Structures in a Collisionless ‎Magnetised Plasma Considering (r, q)-‎Distributed Electrons and k-Distributed ‎Positrons. J Theor Appl phys. 2026 Feb. 28;20(1). Available from: https://oiccpress.com/jtap/article/view/18096
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Abstract

This study addresses the properties of nonlinear ion-acoustic solitary waves (IASWs) within a magnetised plasma composed of ions, inertialess electrons, and positrons with a density gradient where electron and positron particles follow distinct non-Maxwellian energy distributions. To model this system, we derive a governing nonlinear evolution equation, known as the Zakharov-Kuznetsov (ZK) equation, using a standard reductive perturbation method (RPM). This equation is then analysed as a dynamical system to study the resulting solitary wave (SW) structures qualitatively. Through extensive numerical analysis, we investigate how physical parameters such as temperature and density ratios, the degree of non-thermality, the soliton velocity, the direction cosines, and the strength of the magnetic field affect the wave profile. A key finding is that, in contrast to the other non-thermal distributions, the amplitude of the solitary waves (SWs) is highest when the electron distribution approaches the standard Maxwellian case.

Keywords

  • magnetised plasma,
  • -distribution,
  • (r, q)-distribution,
  • ion-acoustic waves,
  • periodic waves,
  • reductive perturbation method,
  • ZK equation
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