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Weakly Nonlinear Quantum Dust Ion-Acoustic Waves

Author(s): Siham Ghebache | Mouloud Tribeche

Journal: Open Journal of Acoustics
ISSN 2162-5786

Volume: 03;
Issue: 02;
Start page: 40;
Date: 2013;
Original page

Keywords: Dusty Plasmas | Dust Ion-Acoustic Waves | Quantum Plasmas | QHD Model | Solitary Waves | Deformed K-dV Equation

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.

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