Abstract

The paper presents a description of low-frequency nonlinear dust-acoustic waves in the dusty magnetosphere of Saturn, which contains two types of electrons (hot and cold) following the kappa distribution, magnetospheric ions, and charged dust particles. The Zakharov–Kuznetsov equation for the corresponding conditions is derived, describing the nonlinear dynamics of dust-acoustic waves in the case of low frequencies and a pancake-shaped wave packet along the external magnetic field. It is shown that, under the conditions of Saturn’s magnetosphere, solutions of the Zakharov–Kuznetsov equation exist in the form of one-dimensional and three-dimensional solitons. Possible observations of such solitons in future space missions are discussed.

中文翻译：

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描述土星尘埃磁层中低频非线性尘埃声扰动的扎哈罗夫-库兹涅佐夫方程

摘要

该论文描述了土星尘埃磁层中的低频非线性尘埃声波，其中包含遵循 kappa 分布的两种类型的电子（热电子和冷电子）、磁层离子和带电尘埃粒子。推导了相应条件的扎哈罗夫-库兹涅佐夫方程，描述了低频和沿外部磁场形成薄饼形波包的情况下尘埃声波的非线性动力学。结果表明，在土星磁层条件下，扎哈罗夫-库兹涅佐夫方程的解以一维和三维孤子的形式存在。讨论了未来太空任务中对此类孤子的可能观察。