Weakly Nonlinear Quantum Dust Ion-Acoustic Waves

Siham Ghebache, Mouloud Tribeche

Plasma Physics Group, Faculty of Sciences-Physics, Theoretical Physics Laboratory, University of Bab-Ezzouar, USTHB, Algiers, Algeria.

DOI: 10.4236/oja.2013.32007                

Abstract

The one-dimensional quantum hydrodynamic (QHD) model for a three-specie quantum plasma is used to study the quantum counterpart of the well known dust ion-acoustic wave (DIAW). It is found that owing to the quantum effects, the dynamics of small but finite amplitude quantum dust ion-acoustic waves (QDIA) is governed by a deformed Korteweg-de Vries equation (dK-dV). The latter admits compressive as well as rarefactive stationary QDIA solitary wave solution. In the fully quantum case, the QDIA soliton experiences a spreading which becomes more significant as electron depletion is enhanced.

Keywords

Dusty Plasmas; Dust Ion-Acoustic Waves; Quantum Plasmas; QHD Model; Solitary Waves; Deformed K-dV Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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