The dust ion acoustic waves propagation in collisional dusty plasmas with dust charge fluctuations: Effect of ion loss and ionization

Abstract

In the present research paper, the nonlinear propagation of dust ion acoustic solitary waves in a collisional dusty plasma, which consists of negatively charged small dust grains, positively charged ions and isothermal electrons with background neutral particles, is investigated. The low rates compared to the ion oscillation frequency, of the charge-fluctuation dynamics of the dust grains, the ionization, ion-neutral and dust-neutral collisions (i.e. weak dissipations) are considered. Using the reductive perturbation theory, a damped Korteweg-de Vries (DKdV) equation is derived. On the other hand, the dynamics of solitary waves at a critical phase velocity is governed by a damped modified Korteweg-de Vries (DMKdV) equation. The nonlinear properties of dust ion acoustic waves in the presence of weak dissipations in the two cases are discussed.

Quantum Effects on Cylindrical Dust-ion Acoustic Waves in a Semiclassical Dense Dusty Plasma

“…The DIAWs were investigated theoretically by Shukla and Silin [1] and experimentally confirmed in low-temperature dusty plasma [2,3]. In the past years, a number of researchers have investigated the basic properties of DIAWs in different dusty plasma systems [4][5][6][7][8][9][10]. Most of those investigations were limited to the classical plasmas, which are generally characterized by low density and high temperature.…”

Electrostatic solitary waves and double layers in a non-extensive dusty plasma with arbitrarily charged dust

“…The linear properties of DIAWs in dusty plasmas are now well understood from both theoretical (Shukla and Silin 1992;Shukla and Eliasson 2009) and experimental (Barkan et al 1996; Merlino and Goree 2004) points of view. The nonlinear propagation of DIAWs have also received a great deal of interest in understanding the features of localized electrostatic perturbations in space and laboratory dusty plasmas (Popel and Yu 1995;Nakamura and Sharma 2001;Ghosh 2007;Misra et al 2008;Anoear and Mamun 2009;Anowar et al 2011;El-Labany et al 2011;Alinejad 2012;Kundu and Mamun 2012).…”