Dust-ion-acoustic rogue waves in presence of non-extensive non-thermal electrons

TL;DR

This paper investigates dust-ion-acoustic rogue waves in a dusty plasma with non-thermal, non-extensive electrons, analyzing their stability, formation, and dependence on plasma parameters through a nonlinear Schrödinger equation.

Contribution

It introduces a model for DIA rogue waves considering non-extensive non-thermal electrons and analyzes their stability and characteristics using the NLSE.

Findings

Rogue waves occur only in unstable modulational domains.

Plasma parameters significantly influence rogue wave features.

The study enhances understanding of rogue wave formation in space and laboratory plasmas.

Abstract

Dust-ion-acoustic (DIA) rogue waves (DIARWs) are investigated in a three components dusty plasma system containing inertialess electrons featuring non-thermal non-extensive distribution as well as inertial warm ions and negative dust grains. A nonlinear Schr\"{o}dinger equation (NLSE), which governs the conditions of the modulational instability (MI) of DIA waves (DIAWs), is obtained by using the reductive perturbation method. It has been observed from the numerical analysis of NLSE that the plasma system supports both modulationally stable domain in which dispersive and nonlinear coefficients of the NLSE have same sign and unstable domain in which dispersive and nonlinear coefficients of the NLSE have opposite sign, and also supports the DIARWs only in the unstable domain. It is also observed that the basic features (viz. stability of the DIAWs, MI, growth rate, amplitude, and width of the DIARWs, etc.) are significantly modified by the related plasma parameters (viz. dust charge state, number density of electron and ion, non-extensive parameter q, and non-thermal parameter $\alpha$, etc.). The present study is useful for understanding the mechanism of the formation of DIARWs in the laboratory and space environments where inertialess mixed distributed electrons can exist with inertial ions and dust grains.