Electrostatic dust-acoustic rogue waves in an electron depleted dusty plasma

TL;DR

This paper theoretically investigates the formation and properties of gigantic dust-acoustic rogue waves in electron depleted dusty plasma systems, providing insights into their characteristics and potential occurrence in space environments.

Contribution

First theoretical analysis of dust-acoustic rogue waves in electron depleted dusty plasma using the nonlinear Schrödinger equation.

Findings

Identification of modulational instability leading to rogue wave formation

Analysis of wave height and thickness of DARWs

Prediction of DARWs in space environments like Saturn's rings and cometary atmospheres

Abstract

The formation of the gigantic dust-acoustic rouge waves (DARWs) in an electron depleted unmagnetized opposite polarity dusty plasma system is theoretically observed for the first time. The nonlinear Schr\"{o}dinger equation (derived by utilizing the reductive perturbation method) has been analytically as well as numerically analyzed to identify the basic features (viz., height, thickness, and modulational instability, etc.) of DARWs. The results obtained form this investigation should be useful in understanding the basic properties of these rouge waves which can predict to be formed in electron depleted unmagnetized opposite polarity dusty plasma systems like mesosphere, F-rings of Saturn, and cometary atmosphere, etc.