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Ion-Acoustic Density Hump Solitons in (r,q) Distributed Plasmasusing Python

Muhammad Nouman Sarwar Qureshi ()
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Muhammad Nouman Sarwar Qureshi: Department of Physics, GC University, Lahore 54000, Pakistan

International Journal of Innovations in Science & Technology, 2025, vol. 7, issue 1, 313-321

Abstract: Electron Velocity Distributions (EVDs) with a flat top at low energy and/or an enhanced tail at high energies are commonly observed in Earth's magnetosphere and solar wind. Noteworthy is the fact that only generalized (π‘Ÿ,π‘ž)distribution with two spectral indices fit such observed flat top distributions, since at low energies neither kappa nor Maxwellian distribution can fit the observed EVDs. In the limiting cases, π‘Ÿ=0,π‘žβ†’βˆžand π‘Ÿ=0,π‘ž=(πœ…+1); (π‘Ÿ,π‘ž)distribution reduces the Maxwellian and kappa distributions, respectively. In the current fluid model, for the first time, electrons are treated as (π‘Ÿ,π‘ž)distributed and Sagdeev potential is derived for fully nonlinear fluid equations for ion-acoustic waves and obtained density humps to interpret the observations. We analyzed the properties of solitary structures using observed plasma parameters and valuesof π‘Ÿand π‘žindices that matched the reported values. We found that flat top distribution supports the density hump solitons with larger amplitude

Keywords: Non-Maxwellian Distribution; (π‘Ÿ,π‘ž)Distribution; Electrostatic Solitary Waves; Solitons; Flat-Topped Distribution; Ion-AcousticWaves (search for similar items in EconPapers)
Date: 2025
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