Dust-ion-acoustic rogue waves in dusty plasma having super-thermal electrons

TL;DR

This paper investigates dust-ion-acoustic rogue waves in a dusty plasma with super-thermal electrons, analyzing modulational instability using the nonlinear Schrödinger equation to understand wave behavior in space and laboratory conditions.

Contribution

It introduces a model incorporating super-thermal electrons, warm ions, and dust grains to study rogue waves and modulational instability in dusty plasmas, highlighting the effects of charge and density.

Findings

Both fast and slow DIA modes are supported.

Charge and density influence instability conditions.

Results aid in understanding space and laboratory dusty plasmas.

Abstract

The standard nonlinear Schr\"{o}dinger equation (NLSE) is one of the elegant equations to find the information about the modulational instability criteria of dust-ion-acoustic (DIA) waves (DIAWs) and associated DIA rogue waves (DIARWs) in a three-component dusty plasma medium having inertialess super-thermal kappa distributed electrons, and inertial warm positive ions and negative dust grains. It can be seen that under the consideration of inertial warm ions along with inertial negatively charged dust grains, the plasma system supports both fast and slow DIA modes. The charge state and number density of the ion and dust grain are responsible to change the instability conditions of the DIAWs and the configuration of DIARWs. These results are to be considered the cornerstone for explaining the real puzzles in space and laboratory dusty plasmas.