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The dust ion acoustic waves propagation in collisional dusty plasmas with dust charge fluctuations: Effect of ion loss and ionization

Published online by Cambridge University Press:  08 February 2010

S. K. EL-LABANY ,
M. SHALABY ,
E. F. EL-SHAMY  and
M. A. KHALED
S. K. EL-LABANY
Affiliation:
Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, Damietta El-Gedida, 34517, Egypt ([email protected])
M. SHALABY
Affiliation:
Department of Physics, Faculty of Science, Ain Shams University, Cairo, Egypt
E. F. EL-SHAMY
Affiliation:
Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, Damietta El-Gedida, 34517, Egypt ([email protected])
M. A. KHALED
Affiliation:
Department of Physics, Faculty of Science, Ain Shams University, Cairo, Egypt
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Abstract

In the present research paper, the nonlinear propagation of dust ion acoustic solitary waves in a collisional dusty plasma, which consists of negatively charged small dust grains, positively charged ions and isothermal electrons with background neutral particles, is investigated. The low rates compared to the ion oscillation frequency, of the charge-fluctuation dynamics of the dust grains, the ionization, ion-neutral and dust-neutral collisions (i.e. weak dissipations) are considered. Using the reductive perturbation theory, a damped Korteweg-de Vries (DKdV) equation is derived. On the other hand, the dynamics of solitary waves at a critical phase velocity is governed by a damped modified Korteweg-de Vries (DMKdV) equation. The nonlinear properties of dust ion acoustic waves in the presence of weak dissipations in the two cases are discussed.

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 1 , February 2011 , pp. 95 - 106
Copyright
Copyright © Cambridge University Press 2010

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