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<p>A theoretical investigation of the instability of dust acoustic waves (DAWs) in a magnetized dust plasma (DP) including cold and hot dust grains under transverse turbulence is carried out. The reductive perturbation technique (RPT) is used to study the instability (growth-rate) conditions of the DA solitary waves by deriving the Zakharov–Kuznetsov (ZK) equation. The interplay between particle dynamics, magnetic field geometry, and plasma components in determining the stability and modulation instability of the nonlinear structures is revealed. It is found that the plasma parameters (i.e., the densities of cold/hot dust grains, the magnetic field strength, the negative dust charge number, and the nonextensive parameter) have significant impact on the growth rate and instability characteristics. Our current study will help to clarify the emergence and evolution of nonlinear phenomena in DPs in laboratory experiments as well as astrophysical environments such as Saturn’s rings, Jupiter’s magnetosphere, Earth’s mesosphere.</p>

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Nonlinear dust acoustic wave instabilities in Saturn’s F ring: Effects of nonextensive particles and two-temperature dust grains

  • 期刊论文

  • 发表日期：

    2026年3月2日

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  • S. K. Zaghbeer,
  • A. A. El-Rahman

摘要

A theoretical investigation of the instability of dust acoustic waves (DAWs) in a magnetized dust plasma (DP) including cold and hot dust grains under transverse turbulence is carried out. The reductive perturbation technique (RPT) is used to study the instability (growth-rate) conditions of the DA solitary waves by deriving the Zakharov–Kuznetsov (ZK) equation. The interplay between particle dynamics, magnetic field geometry, and plasma components in determining the stability and modulation instability of the nonlinear structures is revealed. It is found that the plasma parameters (i.e., the densities of cold/hot dust grains, the magnetic field strength, the negative dust charge number, and the nonextensive parameter) have significant impact on the growth rate and instability characteristics. Our current study will help to clarify the emergence and evolution of nonlinear phenomena in DPs in laboratory experiments as well as astrophysical environments such as Saturn’s rings, Jupiter’s magnetosphere, Earth’s mesosphere.