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

Plasma ◽  
2021 ◽  
Vol 4 (2) ◽  
pp. 230-238
Author(s):  
Jebun Naher Sikta ◽  
Nure Alam Chowdhury ◽  
Abdul Mannan ◽  
Sharmin Sultana ◽  
A. A. Mamun
Keyword(s):  
Dusty Plasma ◽  
Modulational Instability ◽  
Rogue Waves ◽  
Opposite Polarity ◽  
Reductive Perturbation Method ◽  
Plasma Species ◽  
Dust Acoustic ◽  
D Region ◽  
F Ring ◽  
Region Plasma

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.

Dust acoustic shock waves in dusty plasma of opposite polarity with non-extensive electron and ion distributions

2014 ◽  
Vol 80 (3) ◽  
pp. 517-528 ◽  
Author(s):  
S. K. Zaghbeer ◽  
H. H. Salah ◽  
N. H. Sheta ◽  
E. K. El-Shewy ◽  
A. Elgarayhi
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Collisionless Plasma ◽  
Homogeneous System ◽  
Opposite Polarity ◽  
Reductive Perturbation Method ◽  
Ion Distributions ◽  
Electrons And Ions ◽  
Dust Acoustic ◽  
Space Environments

A theoretical investigation has been made of obliquely propagating nonlinear electrostatic shock structures. The reductive perturbation method has been used to derive the Korteweg-de Vries-Burger (KdV-Burger) equation for dust acoustic shock waves in a homogeneous system of a magnetized collisionless plasma comprising a four-component dusty plasma with massive, micron-sized, positively, negatively dust grains and non-extensive electrons and ions. The effect of dust viscosity coefficients of charged dusty plasma of opposite polarity and the non-extensive parameters of electrons and ions have been studied. The behavior of the oscillatory and monotonic shock waves in dusty plasma has been investigated. It has been found that the presence of non-extensive parameters significantly modified the basic properties of shock structures in space environments.

Effect of nonextensive electron and ion on dust acoustic rogue waves in dusty plasma of opposite polarity

2014 ◽  
Vol 353 (2) ◽  
pp. 493-500 ◽  
Author(s):  
S. K. Zaghbeer ◽  
H. H. Salah ◽  
N. H. Sheta ◽  
E. K. El-Shewy ◽  
A. Elgarayh
Keyword(s):  
Dusty Plasma ◽  
Rogue Waves ◽  
Opposite Polarity ◽  
Dust Acoustic

scholarly journals Ion-Acoustic Rogue Waves in Double Pair Plasma Having Non-Extensive Particles

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 63
Author(s):  
Sharmin Jahan ◽  
Mohammad Nurul Haque ◽  
Nure Alam Chowdhury ◽  
Abdul Mannan ◽  
Abdullah Al Mamun
Keyword(s):  
Modulational Instability ◽  
Negative Ions ◽  
Rogue Waves ◽  
Reductive Perturbation Method ◽  
Plasma Parameters ◽  
Pair Plasma ◽  
Laboratory Plasmas ◽  
Plasma Species ◽  
Ion Acoustic ◽  
Basic Features

The modulational instability (MI) of ion-acoustic (IA) waves (IAWs) and associated IA rogue waves (IARWs) are studied in double-pair plasma containing inertial positive and negative ions, inertialess non-extensive electrons and iso-thermal positrons. A standard nonlinear Schrödinger equation (NLSE) is derived by employing reductive perturbation method. It can be seen from the numerical analysis that the plasma system supports both modulationally stable (unstable) parametric regime in which the dispersive and nonlinear coefficients of the NLSE have opposite (same) sign. It is also found that the basic features of IAWs (viz., MI criteria of IAWs, amplitude, and width of the IARWs, etc.) are rigorously changed by the plasma parameters such as mass, charge state, and number density of the plasma species. The outcomes of our present investigation should be useful in understanding the propagation of nonlinear electrostatic IAWs and associated IARWs in astrophysical and laboratory plasmas.

scholarly journals Dust-Acoustic Rogue Waves in Opposite Polarity Dusty Plasma Featuring Nonextensive Statistics

2020 ◽  
Vol 58 (6) ◽  
pp. 789-794
Author(s):  
D. M. S. Zaman ◽  
A. Mannan ◽  
N. A. Chowdhury ◽  
A. A. Mamun
Keyword(s):  
Dusty Plasma ◽  
Rogue Waves ◽  
Opposite Polarity ◽  
Nonextensive Statistics ◽  
Dust Acoustic

Effects of dust grain charge fluctuation on an obliquely propagating dust acoustic solitary potential in a magnetized dusty plasma

2000 ◽  
Vol 63 (2) ◽  
pp. 191-200 ◽  
Author(s):  
A. A. MAMUN ◽  
M. H. A. HASSAN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dusty Plasma ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Charge Fluctuation ◽  
Dust Grains ◽  
Magnetized Dusty Plasma ◽  
Dust Acoustic ◽  
Dust Grain

Effects of dust grain charge fluctuation, obliqueness and external magnetic field on a finite-amplitude dust acoustic solitary potential in a magnetized dusty plasma, consisting of electrons, ions and charge-fluctuating dust grains, are investigated using the reductive perturbation method. It is shown that such a magnetized dusty plasma system may support a dust acoustic solitary potential on a very slow time scale involving the motion of dust grains, whose charge is self- consistently determined by local electron and ion currents. The effects of dust grain charge fluctuation, external magnetic field and obliqueness are found to modify the properties of this dust acoustic solitary potential significantly. The implications of these results for some space and astrophysical dusty plasma systems, especially planetary ring systems and cometary tails, are briefly mentioned.

Non-planar dust-acoustic Gardner solitons with two-ion-temperature in a dusty plasma

2011 ◽  
Vol 78 (2) ◽  
pp. 125-131 ◽  
Author(s):  
M. ASADUZZAMAN ◽  
A. A. MAMUN
Keyword(s):  
Dusty Plasma ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Number Density ◽  
Propagation Characteristics ◽  
Ion Temperature ◽  
Dust Acoustic ◽  
Higher Temperature ◽  
Basic Features ◽  
Gardner Solitons

AbstractThe nonlinear propagation characteristics of Gardner solitons (GSs) in a non-planar (cylindrical and spherical) two-ion-temperature unmagnetized dusty plasma, whose constituents are inertial negative dust, Boltzmann electrons and ions with two distinctive temperatures, are investigated by deriving the modified Gardner (mG) equation. The standard reductive perturbation method is employed to derive the mG equation. The basic features of non-planar dust-acoustic (DA) GSs are analyzed. It has been found that the basic characteristics of GSs, which are shown to exist for the values of ni10/Zdnd0 around 0.311, for ni20/Zdnd0 = 0.5, Ti1/Te = 0.07, and Ti1/Ti2 = 0.05 [where ni10 (ni20) is the lower (higher) temperature ion number density at equilibrium, Ti1 (Ti2) is the lower (higher) temperature of ions, Te is the electron temperature, Zd is the number of electrons residing on the dust grain surface, and nd0 is the equilibrium dust number density] are different from those of Korteweg-de Vries solitons, which do not exist around ni10/Zdnd0 ≃ 0.311. It has been found that the propagation characteristics of non-planar DA GSs significantly differ from those of planar ones.

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