Dust-acoustic rogue waves in an opposite polarity dusty plasma featuring non-extensive statistics

TL;DR

This paper theoretically investigates the modulational instability and rogue wave formation of dust acoustic waves in an opposite polarity dusty plasma with non-extensive electron and ion distributions, revealing how plasma parameters influence wave stability and rogue wave characteristics.

Contribution

It introduces a theoretical model for dust acoustic rogue waves considering non-extensive statistics and analyzes how plasma parameters affect wave stability and rogue wave formation.

Findings

Non-extensive parameters significantly influence MI growth rate.

Electron and ion distributions affect wave stability and rogue wave amplitude.

Non-extensive ions have a greater impact on MI than electrons.

Abstract

Modulational instability (MI) of dust acoustic waves (DAWs), which propagates in an opposite polarity dusty plasma system, containing inertial warm negatively and positively charged dust particles as well as non-extensive q-distributed elec- trons and ions, has been theoretically investigated. The nonlinear Schrodinger (NLS) equation is derived by employing the reductive perturbation method. The NLS equation leads to the MI of DAWs as well as to the formation of DAW rogue waves (DARWs), which are formed due to the effects of nonlinearity in the propagation of DAWs. Both stable and unstable regions are revealed from the analysis of the NLS equation. It is observed that the basic features of the DAWs (viz. stability of the wave profile, MI growth rate, amplitude, and width of DARWs) are significantly modified by the various plasma parameters such as non-extensive parameter, electron number density, and electron temperature. The existence of the non-extensive electron/ion distribution creates an influence on the MI of the waves. It is observed that non-extensive distributed ions have more effect on the MI of the DAWs than electrons.