Dust-acoustic rogue waves in four component plasmas

TL;DR

This paper theoretically explores the formation of dust-acoustic rogue waves in a complex four-component plasma, analyzing how non-thermal particles influence modulational instability and wave dynamics.

Contribution

It introduces a comprehensive model for dust-acoustic rogue waves in a four-component plasma considering non-thermal effects and derives conditions for their formation.

Findings

Non-thermal ion effects significantly modify rogue wave conditions.

Super-thermal electrons influence modulational instability thresholds.

Different dust mass ratios affect wave stability and rogue wave emergence.

Abstract

A theoretical investigation has been made on modulational instability (MI) and dust-acoustic (DA) rogue waves (DARWs) in a four dusty plasma medium containing inertial negatively charged massive heavy (light) cold (hot) dust grains as well as super-thermal electrons and non-thermal ions. The reductive perturbation method is used to derive the nonlinear Schr\"{o}dinger equation, and two types of modes, namely fast and slow DA modes, have been observed. The conditions for the MI and the formation of associated DARWs are found to be significantly modified by the effects of non-thermality of ions ($\alpha$), super-thermality of electrons ($\kappa$), density-ratio of non-thermal ion to cold dust ($\mu_i$), and mass-ratio of cold dust to hot dust ($\sigma$), etc. The implications of our current investigation in space and laboratory plasmas are briefly discussed.