Electrostatic Dust-Acoustic Rogue Waves in an Electron Depleted Dusty Plasma

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.

Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma

“…We investigated the fundamental characteristics of IASHWs in a magnetized DQPS with inertial non-relativistic positively charged heavy and light ions, inertialess ultrarelativistically degenerate electrons. The reductive perturbation method [27][28][29][30][31] was employed to derive the Burgers equation. The results found from the present study can be pinpointed as follows:…”

Modulational Instability of Ion-Acoustic Waves and Associated Envelope Solitons in a Multi-Component Plasma

“…The evolution of a fundamental wave whose amplitude follows Equation ( 23) depends on both P and Q, which are also dependent on η, ρ, , µ 1 , and µ 2 . The stable and unstable parametric regimes of IAWs are determined by the sign of P and Q of Equation ( 23) [15,[24][25][26][27]. When P and Q have the same sign (i.e., P/Q > 0), the evolution of the IAW amplitude is modulationally unstable in the presence of external perturbations.…”

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

“…and laboratory (viz., ac-discharge, plasma crystal [4], rf-discharges [4], Q-machine, and nano-materials [6], etc.) plasmas do not only change the dynamics of the dusty plasma medium (DPM), but also change the mechanism to the formation of various nonlinear electrostatic excitations [7][8][9], viz., dust-acoustic (DA) solitary waves (DASWs) [2], DA shock waves (DASHWs) [10], dust-ion-acoustic (DIA) solitary waves (DIASWs) [2], and DIA rogue waves (DIARWs) [11][12][13], etc.…”