Electrostatic dust-acoustic envelope solitons in an electron depleted plasma

TL;DR

This paper derives a nonlinear Schrödinger equation to analyze the stability and formation of electrostatic dust-acoustic envelope solitons in an electron-depleted dusty plasma with super-thermal ions, relevant for laboratory and space plasmas.

Contribution

It introduces a new model for dust-acoustic wave modulation and soliton formation in an electron-depleted dusty plasma with super-thermal ions, using the reductive perturbation method.

Findings

Identifies conditions for modulational instability of dust-acoustic waves.

Demonstrates formation of stable electrostatic envelope solitons.

Highlights the influence of plasma parameters on wave stability.

Abstract

A standard nonlinear Schr\"{o}dinger equation has been established by using the reductive perturbation method to investigate the propagation of electrostatic dust-acoustic waves, and their modulational instability as well as the formation of localized electrostatic envelope solitons in an electron depleted unmagnetized dusty plasma system comprising opposite polarity dust grains and super-thermal positive ions. The relevant physical plasma parameters (viz., charge, mass, number density of positive and negative dust grains, and super-thermality of the positive ions, etc.) have rigorous impact to recognize the stability conditions of dust-acoustic waves. The present study is useful for understanding the mechanism of the formation of dust-acoustic envelope solitons associated with dust-acoustic waves in the laboratory and space environments.