Abstract
We study the effect of charge fluctuations on the propagation of
adiabatic linear
and nonlinear dust-acoustic waves by considering the electrons and ions
to be in
Boltzmann equilibria, and the dust grains to satisfy the fluid equations
with full
adiabatic equation of state. Linear dust-acoustic waves are damped owing
to the
dust-charge fluctuations, and the damping rate decreases with increasing
adiabatic
dust pressure. Nonlinear dust-acoustic waves are governed by the set of
coupled
Boussinesq-like and dust-charge perturbation equations. It is shown that
for unidirectional
propagation, the Boussinesq-like equation reduces to usual Korteweg–de
Vries
(KdV) equation. At early times, the localized solutions of the KdV equation
are damped owing to the dust-charge perturbations. The soliton amplitude
decreases with increasing adiabatic dust plasma pressure and increases
with Mach
number. Soliton solutions are found only in the supersonic regime.
Publisher
Cambridge University Press (CUP)
Cited by
35 articles.
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