Dissipative dust acoustic solitary waves in an electron depleted dusty plasma with superthermal ions

Document Type : Regular Paper

Author

Arak University

Abstract

Dust acoustic (DA) solitary waves are investigated in an unmagnetized dusty plasma comprising of fluid warm
dust particles and kappa distributed ions. We assume the electron number density to be sufficiently depleted in this
fluid model, i.e.,
ne  nd . We consider the usual ad hoc damping term, involving the damping rate
due to
the dust–neutral collisions; and derived the modified dispersion relation of DA waves. It is found that there is a
 
critical wave number, which should have
 
 
k kcrit
, otherwise overdamping occurs. The critical value of the wave
number increases with
 
 
, while it decreases with
. Also, a modified Korteweg-de-Vries (mKdV) equation was
derived for description of DA solitary wave. We found that the amplitude, width and velocity of DA solitary
 
waves are modified in the presence of damping term. As the amplitude and velocity of solitary DA wave decreases
 
with
 
 

, the width of soliton spreads. Also, it is found that the polarity of soliton changes from positive to negative
at special value of
 
 

.
 

Keywords

Iranian Journal of Science
Volume 37, Issue 3 - Serial Number 3
July and August 2013
Pages 285-291

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