Formation of highly nonlinear dust-acoustic solitary waves due to high-temperature electrons and ions

M Emamuddin,A A Mamun

doi:10.1007/s40094-019-0335-2

Abstract

The nonlinear propagation of dust-acoustic solitary waves (DASWs) in an unmagnetized dusty plasma consisting of two distinct temperature ions, two distinct temperature electrons and mobile dust fluid has been investigated by employing reductive perturbation method. It has been assumed that the two distinct temperature ions follow the Maxwell–Boltzmann distribution and nonthermal (Cairn’s) distribution separately while the two distinct temperature electrons follow the nonextensive (Tsallis) distribution and superthermal (Kappa) distribution separately. The system has been treated by deriving and solving a set of three highly nonlinear equations such as K-dV, modified K-dV and Gardner equations. It has been noted that the basic properties of the DASWs are significantly modified by the presence of the nonthermal ions, nonextensive electrons and superthermal electrons. The possible applications of this investigation in astrophysical, space and laboratory plasma systems have also been briefly addressed.

Highlights

The dusty plasma has become one of the prominent matters of studies during the last five decades because of its maximum presence in the universe
During the early studies of dusty plasmas, it had been assumed that the temperature of the dusty plasma particles is finite and the distribution of the dusty plasma particles follows the well-known Maxwellian distribution due to thermodynamic equilibrium
Tsalli [2] proposed a generalized version of BG statistics, known as nonextensive statistical mechanics for describing and analyzing complex systems out of thermal equilibrium

Summary

Introduction

The dusty plasma has become one of the prominent matters of studies during the last five decades because of its maximum presence in the universe This is the most amazing and exciting matter of fact that more than ninety nine percent of the known universe is in the form of plasma and the remaining one percent or less which includes our earth is not in the form of plasma. No doubt, this statement stresses strongly the importance of studying the plasma and dusty plasma.

Present Address

CS 6 m