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Weakly nonlinear dust ion-acoustic waves in a charge varying dusty plasma with non-thermal electrons

Published online by Cambridge University Press:  01 April 2008

MOULOUD TRIBECHE
Affiliation:
Plasma Physics Group, Theoretical Physics Laboratory, Faculty of Sciences-Physics, University of Bab-Ezzouar, USTHB, B.P. 32, El Alia, Algiers 16111, Algeria
ABDERREZAK BERBRI
Affiliation:
Plasma Physics Group, Theoretical Physics Laboratory, Faculty of Sciences-Physics, University of Bab-Ezzouar, USTHB, B.P. 32, El Alia, Algiers 16111, Algeria

Abstract

The weakly nonlinear dynamics of dust ion-acoustic waves (DIAWs) are investigated in a dusty plasma consisting of hot ion fluid, variable charge stationary dust grains and non-thermally distributed electrons. The Korteweg–de Vries equation, as well as the Korteweg–de Vries–Burgers equation, are derived on the basis of the well-known reductive perturbation theory. It is shown that, due to electron non-thermality and finite ion temperature, the present dusty plasma model can support compressive as well as rarefactive DIA solitary waves. Furthermore, there may exist collisionless DIA shock-like waves which have either monotonic or oscillatory behavior, the properties of which depend sensitively on the number of fast non-thermal electrons. The results complement and provide new insights into previously published results on this problem (Mamun, A. A. and Shukla, P. K. 2002 IEEE Trans. Plasma Sci. 30, 720).

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

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