# Dust-acoustic rogue waves in an electron depleted plasma

## TL;DR

This paper theoretically investigates dust-acoustic rogue waves in an electron-depleted dusty plasma with super-thermal ions and charged dust, analyzing their formation, characteristics, and dependence on plasma parameters for space and laboratory applications.

## Contribution

It presents the first detailed theoretical analysis of dust-acoustic rogue waves in an electron-depleted dusty plasma with super-thermal ions and charged dust grains, using the NLSE and modulational instability analysis.

## Key findings

- Rogue wave height and thickness depend on plasma parameters.
- Modulational instability conditions are derived for dust-acoustic waves.
- Results are relevant for space and laboratory dusty plasma environments.

## Abstract

A rigorous theoretical investigation is made to study the characteristics of dust-acoustic (DA) waves (DAWs) in an electron depleted unmagnetized opposite polarity dusty plasma system that contains super-thermal ($\kappa$-distributed) ions, mobile positively and negatively charged dust grains for the first time. The reductive perturbation method is employed to obtain the NLSE to explore the modulational instability (MI) conditions for DAWs as well as the formation and characteristics of gigantic rogue waves. The nonlinear and dispersion properties of the dusty plasma medium are the prime reasons behind the formation of rogue waves. The height and thickness of the DARWs associated with DAWs as well as the MI conditions of DAWs are numerically analyzed by changing different dusty plasma parameters, such as dust charges, dust and ion number densities, and ion-temperature, etc. The implications of the results for various space dusty plasma systems (viz., mesosphere, F-rings of Saturn, and cometary atmosphere, etc.) as well as laboratory dusty plasma produced by laser-matter interaction are briefly mentioned.