Landau-damped dust-acoustic solitary waves in nonthermal plasmas

Abdulaziz H. Alharbi; M. S. J. Alzahrani; W. M. Moslem; I. S. Elkamash; Abdulaziz H. Alharbi; M. S. J. Alzahrani; W. M. Moslem; I. S. Elkamash

doi:10.3934/era.2025280

Electronic Research Archive

2025, Volume 33, Issue 10: 6343-6374. doi: 10.3934/era.2025280

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Research article

Landau-damped dust-acoustic solitary waves in nonthermal plasmas

1.
Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah 25375, Saudi Arabia
2.
Mechanical and Industrial Engineering Department, College of Engineering and computing Al-Leith, Umm Al-Qura University, Makkah, Al Lith 28434, Saudi Arabia
3.
Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt
4.
Centre for Theoretical Physics, The British University in Egypt, El-Shorouk City, Cairo 11837, Egypt
5.
Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

Received: 14 August 2025 Revised: 11 October 2025 Accepted: 16 October 2025 Published: 27 October 2025

We utilize a fluid kinetic hybrid approach to analyze dust acoustic wave propagation in collisionless, unmagnetized dusty plasmas, specifically investigating how linear Landau damping effects in the ion population affect weakly nonlinear and weakly dispersive wave behavior. An electron-depleted plasma is considered, consisting of a cold fluid of negatively charged dust particles and two types of ions at different temperatures, modelled by a kappa-type distribution. Anticipating nonlinear solitary waves, a reductive perturbation technique is employed, leading to a nonlinear partial differential equation for the electrostatic potential in the form of a modified Korteweg–de Vries (mKdV) equation, featuring an additional term to account for linear Landau damping of the ions. The solitary wave's amplitude is found to decay with time. A parametric analysis is carried out of the impact of the plasma configuration on the Landau damping rate under the influence of this latter (Landau damping-related) term. The results of this work are highlighted in space plasma, such as that around Enceladus and Saturn's E ring, where the occurrence of Landau damping in combination with a nonthermal ion distribution may affect wave propagation significantly.
- partial differential equations,
- numerical solution,
- solitary waves,
- nonthermal plasmas,
- Landau-damped
Citation: Abdulaziz H. Alharbi, M. S. J. Alzahrani, W. M. Moslem, I. S. Elkamash. Landau-damped dust-acoustic solitary waves in nonthermal plasmas[J]. Electronic Research Archive, 2025, 33(10): 6343-6374. doi: 10.3934/era.2025280

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Abstract

We utilize a fluid kinetic hybrid approach to analyze dust acoustic wave propagation in collisionless, unmagnetized dusty plasmas, specifically investigating how linear Landau damping effects in the ion population affect weakly nonlinear and weakly dispersive wave behavior. An electron-depleted plasma is considered, consisting of a cold fluid of negatively charged dust particles and two types of ions at different temperatures, modelled by a kappa-type distribution. Anticipating nonlinear solitary waves, a reductive perturbation technique is employed, leading to a nonlinear partial differential equation for the electrostatic potential in the form of a modified Korteweg–de Vries (mKdV) equation, featuring an additional term to account for linear Landau damping of the ions. The solitary wave's amplitude is found to decay with time. A parametric analysis is carried out of the impact of the plasma configuration on the Landau damping rate under the influence of this latter (Landau damping-related) term. The results of this work are highlighted in space plasma, such as that around Enceladus and Saturn's E ring, where the occurrence of Landau damping in combination with a nonthermal ion distribution may affect wave propagation significantly.

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