TITLE:
Weakly Nonlinear Quantum Dust Ion-Acoustic Waves
AUTHORS:
Siham Ghebache, Mouloud Tribeche
KEYWORDS:
Dusty Plasmas; Dust Ion-Acoustic Waves; Quantum Plasmas; QHD Model; Solitary Waves; Deformed K-dV Equation
JOURNAL NAME:
Open Journal of Acoustics,
Vol.3 No.2,
June
21,
2013
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.