Weakly Nonlinear Quantum Dust Ion-Acoustic Waves

  • Ghebache S
  • Tribeche M
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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.

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APA

Ghebache, S., & Tribeche, M. (2013). Weakly Nonlinear Quantum Dust Ion-Acoustic Waves. Open Journal of Acoustics, 03(02), 40–44. https://doi.org/10.4236/oja.2013.32007

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