Comparative study of dust acoustic solitons in two-temperature ion homogeneous and inhomogeneous plasmas

Rashmi Srivastava,Devi Singh,Hitendra K Malik

doi:10.1007/s40094-019-00365-1

Abstract

The dust acoustic solitary waves are theoretically investigated in dusty plasmas for different cases of with and without density gradients. These low-frequency solitary waves are studied using appropriate Korteweg–de Vries equations obtained using relevant stretched coordinates. The soliton solutions in homogeneous plasma, weakly inhomogeneous plasma and strongly inhomogeneous plasma, are thoroughly investigated for studying the effect of different parameters like dust charge and density of all the plasma species on the soliton profiles. The combination of the dust charge with its number density changes the dynamics of the solitons and that is further affected by the number density of the hot ion with respect to the cold ions.

Highlights

The presence of dust in plasma contributes to unusual behaviour which generates low frequency instabilities and modes or even dominates the wave propagation in the plasma
Lakshmi and Bharuthram investigated the impact of particle densities and temperature on large amplitude solitary waves in homogeneous cold dusty plasma consisting of electrons and two species of ions [11]; the calculations did not include the dust temperature
The investigation in the present paper shows theoretical comparable variation in soliton structures from homogeneous plasma to inhomogeneous plasma

Summary

Introduction

The presence of dust in plasma contributes to unusual behaviour which generates low frequency instabilities and modes or even dominates the wave propagation in the plasma. For plasma with strong density gradient, the solution of the modified KdV equation is obtained using sin-cosine method [20] with the variable transformation as follows

Results

Conclusion