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Weakly Nonlinear Quantum Dust Ion-Acoustic Waves

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DOI: 10.4236/oja.2013.32007    3,111 Downloads   6,033 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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