Rogue waves in space dusty plasmas

TL;DR

This paper theoretically investigates dust-acoustic rogue waves in space dusty plasmas, analyzing their stability and characteristics influenced by plasma parameters, with implications for understanding space plasma phenomena.

Contribution

It derives a nonlinear Schrödinger equation for dust-acoustic waves in space plasmas and explores the stability and properties of rogue waves considering superthermal electron effects.

Findings

Fast mode supports rogue waves with properties affected by superthermal parameter.

Both fast and slow modes can be stable or unstable depending on plasma conditions.

Results aid in understanding rogue waves in space environments like the mesosphere and ionosphere.

Abstract

The modulational instability of dust-acoustic (DA) waves (DAWs), and corresponding DA rogue waves (DARWs) in a realistic space dusty plasma system (containing inertial warm positively and negatively charged dust, isothermal ions, and nonthermal kappa distributed electrons) has been theoretically investigated. The nonlinear Schr\"{o}dinger (NLS) equation is derived by using reductive perturbation method for this investigation. It is observed that the dusty plasma system under consideration supports two modes, namely fast and slow modes, and that both of these two modes can be stable or unstable depending the sign of ratio of the dispersive and nonlinear coefficients. The numerical analysis have shown that the basic features (viz. stability/instabilit, growth rate, amplitude, etc.) of the DAWs associated with the fast mode are significantly modified by superthermal parameter ($\kappa$) and other various plasma parameters. The results of our present investigation should be useful for understanding DARWs in space plasma systems, viz. mesosphere and ionospehre.