Dust Ion Acoustic Solitary Waves in Multi-Ion Dusty Plasma System

doi:10.34104/ajeit.019.0105

Abstract

A theoretical work has done to observe the existence of dust ion-acoustic (DIA) solitary waves (SWs) in a multi-ion dusty plasma system consisting of inertial positive and negative ions, Maxwell’s electrons, and arbitrary charged stationary dust. In this short communication, our research declares that with these components the derivation of Korteweg-de Vries (K-dV) and mixed K-dV (mK-dV) is possible. Here reductive perturbation method has been employed in all these approaches. The first K-dV equation has been derived which gave both bright and dark solitons but for a very limited region. Then the mK-dV equation has been derived that gave bright soliton for a large region, but no dark soliton has been observed.

Highlights

Dusty plasma is normal electron-ion plasma with an added highly charged element of small micron or submicron sized extremely massive charged gritty
Barkan et al (1995) have experimentally verified the existence of dust-ionacoustic wave in dusty plasma. These waves differ from usual ion-acoustic waves (Lonngren, 1983) due to the conservation of equilibrium charge density ne0e+nd0Zde−ni0e = 0, and the strong inequality, ne0 ≪ ni[0], where ns[0] is the particle number density of the species s with s = e (i) d for electrons dust, Zd is the figure of electrons residing onto the dust grain side, and e is the magnitude of an electronic charge
Where ns is the number density with s = n(i)e(d) of negative ion electron, us is the fluid speed of s, mj is the positive or negative ion mass, Zd is the number of electron occupy on the dust grain side, e = magnitude of the electron-charge (q), φ is the electrostatic wave potential; ns0, and nd[0] are the equilibrium value of ns, and nd respectively i.e. ns, and nd are the number density normalized by ns0, and nd[0] respectively, pi is the pressure of species i, γ is an adiabatic index, x is the space variable, and t is the time variable

Summary

Introduction

Dusty plasma is normal electron-ion plasma with an added highly charged element of small micron or submicron sized extremely massive charged gritty (dust grains). Shukla and Silin, (1992) have theoretically shown the low-frequency dust-ion-acoustic waves in a dusty plasma system.

Results

Conclusion