Investigation of Dust Ion Acoustic Shock and Solitary Waves in a Viscous Dusty Plasma

TL;DR

This paper theoretically and numerically investigates dust ion acoustic shock and solitary waves in a viscous dusty plasma with Kappa distributed electrons, highlighting their properties and potential applications in astrophysical and laboratory plasmas.

Contribution

It introduces a comprehensive model for DIAWs in viscous dusty plasma with Kappa electrons, analyzing shock and solitary wave features using KdV equation and phase portraits.

Findings

DIAWs exhibit distinct shock and solitary wave characteristics depending on plasma parameters.

Viscosity and electron distribution significantly influence wave behavior.

Results applicable to astrophysical and laboratory plasma environments.

Abstract

A viscous dusty plasma containing Kappa distributed electrons, positive warm viscous ions and constant negatively charged dust grains with viscosity have been considered to study the modes of dust ion acoustic waves (DIAWs) theoretically and numerically. The derivations and basic features of shock and solitary waves with different plasma parameters like Mach number, finite temperature coefficient, unperturbed dust streaming velocity, kinematic viscosity of dust etc. of this DIAWs mode have been performed. Considering the dynamical equation from Korteweg de Vries(KdV) equation, a phase portrait has been drawn and the position of saddle point or col. and center have also been discussed. This type of dusty plasma can be found in celestial bodies. The results of this research work can be applied to study the properties of DIAWs in various astrophysical situations where Kappa distributive electrons are present and careful modification of the same model can help us to understand the nature of the DIAWs of laboratory plasma as well.