Nonlinear properties of small amplitude dust ion acoustic solitary waves

Abstract

In this paper some nonlinear characteristics of small amplitude dust ion acoustic solitary wave in three component dusty plasma consisting of electrons, ions, and dust grains have been studied. Simultaneously, the charge fluctuation dynamics of the dust grains under the assumption that the dust charging time scale is much smaller than the dust hydrodynamic time scale has been considered here. The ion dust collision has also been incorporated. It has been seen that a damped Korteweg–de Vries (KdV) equation governs the nonlinear dust ion acoustic wave. The damping arises due to ion dust collision, under the assumption that the ion hydrodynamical time scale is much smaller than that of the ion dust collision. Numerical investigations reveal that the dust ion acoustic wave admits only a positive potential, i.e., compressive soliton.

Effects of two-temperature electrons, external oblique magnetic field, and higher-order nonlinearity on dust acoustic solitary waves in a dusty plasma with vortex-like ion distribution

“…The effect of ion non-isothermality on the dust charging then enters through the particle density and the electrostatic potential appearing in this current. Therefore, the electrons and ions currents have the following expression (Ghosh et al 2000)…”

Ion acoustic solitons and double layers in electron–positron–ion plasmas with dust particulates

“…For example, the presence of highly charged dust particulates modifies the dispersion relation for ion acoustic wave by increasing its phase velocity in electron-ion plasma (D'Angelo 1990;Shukla and Silin 1992;Barkan et al 1996;Nakamura et al 1999). Also it does modify the nonlinear properties of ion acoustic waves (Popel et al 1996;Luo et al 1999;Nakamura and Sharma 2001;Shukla 2000;Ghosh et al 2000b;2000a;Ghosh 2006). Thus it is instructive to examine the collective behaviours of ion acoustic waves in electron-positron-ion-dust plasmas.…”

Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

“…Various aspects of dust acoustic waves have been considered in the studies by several authors [29][30][31][32][33][34][35][36]. Other nonlinear electrostatic waves have been considered by Ghosh et al [37,38] and Dutta et al [39].…”