Nonlinear dust-acoustic waves with dust charge fluctuations

Mathematics

Scientific paper

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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.

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