Modulated dust-acoustic wave packets in an opposite polarity dusty plasma system

TL;DR

This paper theoretically investigates the modulation and stability of dust-acoustic wave packets in an opposite polarity dusty plasma, considering non-extensive electrons, isothermal ions, and warm dust, with implications for space and laboratory plasmas.

Contribution

It introduces a theoretical analysis of dust-acoustic solitons in an opposite polarity plasma with non-extensive electrons, highlighting effects on modulational instability and wave dynamics.

Findings

Identification of fast and slow dust-acoustic modes.

Conditions for modulational instability are significantly affected by plasma parameters.

Implications for space and laboratory dusty plasma environments.

Abstract

The nonlinear propagation of the dust-acoustic bright and dark envelope solitons in an opposite polarity dusty plasma system (composed of non-extensive $q$-distributed electrons, isothermal ions, and positively as well as negatively charged warm dust) have been theoretically investigated. The reductive perturbation method (which is valid for a small, but finite amplitude limit) is employed to derive the nonlinear Schr\"{o}dinger equation. Two types of modes (namely, fast and slow dust-acoustic (DA) modes) have been observed. The conditions for the modulational instability (MI) and its growth rate in the unstable regime of the DA waves are significantly modified by the effects of non-extensive electrons, dust mass, temperatures of different plasma species, etc. The implications of the obtained results from our current investigation in space (viz. Jupiters magnetosphere, upper mesosphere, and comets tails) and laboratory (e.g. direct current and radio-frequency discharges, plasma processing reactors, fusion plasma devices, and solid-fuel combustion products, etc.) dusty plasmas are briefly discussed.