Dust-acoustic envelope solitons in an electron depleted plasma

TL;DR

This paper theoretically studies dust-acoustic wave stability and envelope soliton formation in an electron-depleted dusty plasma with non-extensive ions, revealing how ion properties influence wave behavior and potential applications.

Contribution

It derives a nonlinear Schrödinger equation for dust-acoustic waves in a specific plasma system and analyzes how ion non-extensivity affects modulational instability and soliton characteristics.

Findings

Ion non-extensivity alters stability regimes of DAWs.

Dust grains influence the width of envelope solitons.

Results applicable to planetary and laboratory plasma environments.

Abstract

A theoretical investigation of the modulational instability (MI) of dust-acoustic waves (DAWs) by deriving a nonlinear Schr\"{o}dinger equation in an electron depleted opposite polarity dusty plasma system containing non-extensive positive ions has been presented. The conditions for MI of DAWs and formation of envelope solitons have been investigated. The sub-extensivity and super-extensivity of positive ions are seen to change the stable and unstable parametric regimes of DAWs. The addition of dust grains causes to change the width of both bright and dark envelope solitons. The findings of this study may be helpful to understand the nonlinear features of DAWs in Martian atmosphere, cometary tail, solar system, and in laboratory experiments, etc.