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 OJA  Vol.3 No.2 , June 2013
Weakly Nonlinear Quantum Dust Ion-Acoustic Waves
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.
Cite this paper: S. Ghebache and M. Tribeche, "Weakly Nonlinear Quantum Dust Ion-Acoustic Waves," Open Journal of Acoustics, Vol. 3 No. 2, 2013, pp. 40-44. doi: 10.4236/oja.2013.32007.
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