Abstract
The nonlinear propagation of dust-acoustic (DA) solitary waves in three-component unmagnetized dusty plasma consisting of Maxwellian electrons, vortex-like (trapped) ions, and arbitrarily charged cold mobile dust grain has been investigated. It has been found that, owing to the departure from the Maxwellian ions distribution to a vortex-like one, the dynamics of small but finite amplitude DA waves is governed by a nonlinear equation of modified Korteweg-de Vries (mK-dV) type instead of K-dV. The reductive perturbation method has been employed to study the basic features (phase speed, amplitude, width, etc.) of DA solitary waves which are significantly modified by the presence of trapped ions. The implications of our results in space and laboratory plasmas are briefly discussed.
Highlights
It is well known from computer simulations [1]-[3] and experiments [4] [5] that plasmas, which are strongly excited by means of the injection of particle beams, are often found to evolve toward a coherent trapped particle state, instead of developing into a turbulent one
Rao et al [12] first theoretically predicted the existence of dust-acoustic waves (DAWs), in which the inertia is provided by the dust particle mass and the restoring force is provided by the pressures of the inertia less electrons and ions
Annou have studied the nonlinear propagation of DA solitary waves [24], they have considered three component unmagnetized dusty plasma consisting of inertial charged dust grains, Boltzmannian electrons and non-thermal ions and investigated large-amplitude solitary waves with finite dust temperature incorporating the effect of non-thermal ion distribution by using Sagdeev pseudopotential method [24]
Summary
It is well known from computer simulations [1]-[3] and experiments [4] [5] that plasmas, which are strongly excited by means of the injection of particle beams, are often found to evolve toward a coherent trapped particle state, instead of developing into a turbulent one. Rao et al [12] first theoretically predicted the existence of dust-acoustic waves (DAWs), in which the inertia is provided by the dust particle mass and the restoring force is provided by the pressures of the inertia less electrons and ions This pioneering work of Rao et al [12] initiated a number of laboratory experiments [13]-[15], where DAWs are observed even with naked eyes because of their appearance on a very long time scale and a large number of theoretical investigations [11] [16]-[23], which provide different linear and nonlinear features of the DAWs in an unmagnetized weakly coupled dusty plasma. We have studied the nonlinear propagation of dust-acoustic solitary waves in an unmagnetized three component dusty plasma consisting of Maxwellian ions, vortex-like electron distribution and arbitrarily charged cold mobile dust [25].
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