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Nonlinear electron-acoustic waves in non-Maxwellian plasma: application in terrestrial magnetosphere

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Abstract

Nonlinear electron-acoustic waves (EAWs) and their propagation and interaction have been studied in a plasma consisting of hot (non-Maxwellian) and cold dynamic electrons with background ions. For electron-acoustic waves, we derived the Korteweg-de Vries (KdV) equation by taking into account the small amplitude limit. The generalized (r,q) distribution function, also known as the double spectral index velocity distribution function, has been used to carry out this derivation. We studied single and multisoliton solutions for electron-acoustic solitary waves (EASWs) by using Hirota’s bilinear technique. The model under consideration only supports rarefactive soliton. According to the numerical analysis, the plasma parameters r and q of hot electrons as well as the ratio of hot to cold electrons have a significant influence on altering the amplitude of electron-acoustic solitary waves. Using the auroral zone parametric values in general, the range of electric field amplitude for different hot electron distributions is calculated, which agrees with POLAR and FAST satellite observations of electric field amplitude. The interaction of the two solitons, as well as their sensitivity to propagation vectors, plasma parameters r and q, and density ratio, has been discussed. Especially, we estimate the spatial scale over which the nonlinear structures form in the auroral zone. The findings of this study should help researchers better understand how two electron-acoustic solitary waves interact in laboratory as well as in astrophysical plasmas.

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Authors and Affiliations

  1. Department of Physics, Khushal Khan Khattak University, Karak, City Road, Karak, KP, 27200, Pakistan

    Adnan Khan & Shakir Ullah

  2. Department of Physics, COMSATS University Islamabad, Islamabad Campus,Park Road, Chak Shahzad, Islamabad, 44000, Pakistan

    Muhammad Shohaib & Shakir Ullah

  3. Department of Physics, Government Post Graduate College, Karak, KP, 27200, Pakistan

    Shakir Ullah

Authors
  1. Adnan Khan
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  2. Muhammad Shohaib
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  3. Shakir Ullah
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Correspondence to Shakir Ullah.

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Khan, A., Shohaib, M. & Ullah, S. Nonlinear electron-acoustic waves in non-Maxwellian plasma: application in terrestrial magnetosphere. Indian J Phys (2024). https://doi.org/10.1007/s12648-024-03226-z

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