Mathematics
Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994p%26ss...42..221r&link_type=abstract
Planetary and Space Science (ISSN 0032-0633), vol. 42, no. 3, p. 221-225
Mathematics
63
Cosmic Dust, Electric Charge, Magnetohydrodynamic Waves, Mathematical Models, Perturbation, Plasma Waves, Boussinesq Approximation, Korteweg-Devries Equation, Nonlinear Equations
Scientific paper
Nonlinear dust-acoustic waves in an unmagnetized dusty plasma have been investigated by taking into account dust-grain charge perturbations. For small, but finite, amplitudes the waves are shown to be governed by a Boussinesq-like nonlinear equation coupled to the charge fluctuation equation. For unidirectional propagation, the equations reduce to a Korteweg-de Vries (K-dV) equation with a source term. At early times, localized solutions are found to be damped due to the dust charge fluctuations. Different limiting cases of the general equations are also discussed.
Kant Shukla Padma
Rao Nagesha N.
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