Abstract
The formation of gigantic dust-acoustic (DA) rouge waves (DARWs) in an electron depleted unmagnetized opposite polarity dusty plasma system is theoretically predicted. The nonlinear Schrödinger equation (NLSE) is derived by employing the reductive perturbation method. It is found that the NLSE leads to the modulational instability (MI) of DA waves (DAWs), and to the formation of DARWs, which are caused by to the effects of nonlinearity and dispersion in the propagation of DAWs. The conditions for the MI of DAWs and the basic properties of the generated DARWs are numerically identified. It is also seen that the striking features (viz., instability criteria, amplitude and width of DARWs, etc.) of the DAWs are significantly modified by the effects of super-thermality of ions, number density, mass and charge state of the plasma species, etc. The results obtained from the present investigation will be useful in understanding the MI criteria of DAWs and associated DARWs in electron depleted unmagnetized opposite polarity dusty plasma systems like Earth’s mesosphere (where the D-region plasma could suffer from electron density depletion), cometary tails, Jupiter’s magnetosphere, and F-ring of Saturn, etc.
Highlights
Rao et al [11] traced how the presence of massive dust grains alters the dynamics of dusty plasma medium (DPM), and theoretically predicted a new kind of low-frequency dust-acoustic (DA) waves (DAWs)
We aim to extend on previous published work [15] by considering a real and novel four-component electron depleted DPM (EDDPM) with inertial Opposite polarity (OP) dust grains and inertialess iso-thermal negative ions and super-thermal positive ions to examine the modulational instability (MI) of DA waves (DAWs) and the formation of DA rogue waves (DARWs)
The variation of P/Q with k for different values of κ as well as the stable and unstable parametric regimes of the DAWs can be observed in the left panel of Figure 1, and it is obvious from this figure that (a) DAWs become modulationally stable for small values of k, while unstable for large values of k; (b) the k c decreases with the increase in the value of κ
Summary
Opposite polarity (OP) dusty plasma (OPDP) is demonstrated as fully ionized gas consisting of massive OP dust grains, ions, and electrons in the presence of electrostatic and gravitational force fields, and has been identified in astrophysical environments, viz., Earth polar mesosphere [1], cometary tails [2,3,4], Jupiter’s magnetosphere [5,6], solar system [3], and laboratory devices [7,8,9,10]. Rao et al [11] traced how the presence of massive dust grains alters the dynamics of dusty plasma medium (DPM), and theoretically predicted a new kind of low-frequency dust-acoustic (DA) waves (DAWs). The distinction of low-frequency DAWs from ion-acoustic waves (IAWs) was experimentally confirmed by Barkan et al [12] in the DPM. The experimental identification of DAWs in the DPM has mesmerized many plasma physicists to investigate numerous modern electrostatic eigen-modes, viz., dust-drift waves [13], DA solitary waves (DA-SWs) [14], DAWs [15,16,17], dust lattice waves [18], DA shock waves (DA-SHWs) [19], and dust-ion-acoustic waves (DIAWs) [20], etc
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