Email this article Zakharov–Kuznetsov Equation for Describing Low-Frequency Nonlinear Dust Acoustic Perturbations in Saturn’s Dusty Magnetosphere
- Authors: Kopnin S.I.1, Shokhrin D.V.2, Popel S.I.1
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Affiliations:
- Space Research Institute, Russian Academy of Sciences
- Higher School of Economics
- Issue: Vol 50, No 1 (2024)
- Pages: 51-60
- Section: ПЫЛЕВАЯ ПЛАЗМА
- URL: https://journals.rcsi.science/0367-2921/article/view/260997
- DOI: https://doi.org/10.31857/S0367292124010056
- EDN: https://elibrary.ru/SKJBCV
- ID: 260997
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Abstract
A description is given of low-frequency nonlinear dust acoustic waves in Saturn’s dusty magnetosphere, which contains electrons of two types (hot and cold) obeying the kappa distribution, magnetospheric ions, and charged dust particles. For the corresponding conditions, the derivation of the Zakharov–Kuznetsov equation is given, which describes the nonlinear dynamics of dust acoustic waves in the case of low frequencies and a pancake-shaped wave packet along an external magnetic field. It is shown that under the conditions of Saturn’s magnetosphere there exist solutions of the Zakharov–Kuznetsov equation in the form of one-dimensional and three-dimensional solitons. Possible observations of the considered solitons in future space missions are discussed.
About the authors
S. I. Kopnin
Space Research Institute, Russian Academy of Sciences
Email: popel@iki.rssi.ru
Russian Federation, Moscow
D. V. Shokhrin
Higher School of Economics
Email: popel@iki.rssi.ru
Russian Federation, Moscow
S. I. Popel
Space Research Institute, Russian Academy of Sciences
Author for correspondence.
Email: popel@iki.rssi.ru
Russian Federation, Moscow
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