The effect of dust size distribution on quantum dust acoustic wave

El-Labany, S. K.; El-Siragy, N. M.; El-Taibany, W. F.; Behery, E. E.
September 2009
Physics of Plasmas;Sep2009, Vol. 16 Issue 9, p093701
Academic Journal
Based on the quantum hydrodynamics theory, a proposed model for quantum dust acoustic waves (QDAWs) is presented including the dust size distribution (DSD) effect. A quantum version of Zakharov–Kuznetsov equation is derived adequate for describing QDAWs. Two different DSD functions are applied. The relevance of the wave velocity, amplitude, and width to the DSD is investigated numerically. The quantum effect changes only the soliton width. A brief conclusion is presented to the current findings and their relevance to astrophysics data is also discussed.


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