Nonlinear propagation of dust-ion-acoustic solitary waves in an unmagnetized dusty plasma with trapped particle distribution

2015 ◽  
Vol 30 (40) ◽  
pp. 1550216 ◽  
Author(s):  
O. Rahman
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Perturbation Technique ◽  
Negative Ions ◽  
Mkdv Equation ◽  
Finite Amplitude ◽  
Negative Ion ◽  
Nonlinear Propagation ◽  
Ion Distribution ◽  
Ion Acoustic

The nonlinear propagation of dust-ion-acoustic (DIA) solitary waves (SWs) in an unmagnetized four-component dusty plasma containing electrons and negative ions obeying vortex-like (trapped) velocity distribution, cold mobile positive ions and arbitrarily charged stationary dust has been theoretically investigated. The properties of small but finite amplitude DIASWs are studied by employing the reductive perturbation technique. It has been found that owing to the departure from the Maxwellian electron and Maxwellian negative ion distribution to a vortex-like one, the dynamics of such DIASWs is governed by a modified Korteweg–de Vries (mKdV) equation which admits SW solution under certain conditions. The basic properties (speed, amplitude, width, etc.) of such DIASWs are found to be significantly modified by the presence of trapped electron and trapped negative ions. The implications of our results to space and laboratory dusty electronegative plasmas (DENPs) are briefly discussed.

Solitary waves in a dusty adiabatic electronegative plasma

2010 ◽  
Vol 76 (3-4) ◽  
pp. 409-418 ◽  
Author(s):  
A. A. MAMUN ◽  
K. S. ASHRAFI ◽  
M. G. M. ANOWAR
Keyword(s):  
Solitary Waves ◽  
Vries Equation ◽  
Negative Ions ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Electronegative Plasma ◽  
Ion Acoustic ◽  
Basic Features ◽  
Electronegative Plasmas

AbstractThe dust ion-acoustic solitary waves (SWs) in an unmagnetized dusty adiabatic electronegative plasma containing inertialess adiabatic electrons, inertial single charged adiabatic positive and negative ions, and stationary arbitrarily (positively and negatively) charged dust have been theoretically studied. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits an SW solution. The combined effects of the adiabaticity of plasma particles, inertia of positive or negative ions, and presence of positively or negatively charged dust, which are found to significantly modify the basic features of small but finite-amplitude dust-ion-acoustic SWs, are explicitly examined. The implications of our results in space and laboratory dusty electronegative plasmas are briefly discussed.

Ion-acoustic waves in a degenerate multicomponent magnetoplasma

2012 ◽  
Vol 79 (2) ◽  
pp. 163-168 ◽  
Author(s):  
U. M. ABDELSALAM ◽  
M. M. SELIM
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Three Dimensional ◽  
Negative Ions ◽  
Expansion Method ◽  
Reductive Perturbation Method ◽  
Negative Ion ◽  
Zk Equation ◽  
Ion Acoustic ◽  
Astrophysical Objects

AbstractThe hydrodynamic equations of positive and negative ions, degenerate electrons, and the Poisson equation are used along with the reductive perturbation method to derive the three-dimensional Zakharov–Kuznetsov (ZK) equation. The G′/G-expansion method is used to obtain a new class of solutions for the ZK equation. At certain condition, these solutions can describe the solitary waves that propagate in our plasma. The effects of negative ion concentrations, the positive/negative ion cyclotron frequency, as well as positive-to-negative ion mass ratio on solitary pulses are examined. Finally, the present study might be helpful to understand the propagation of nonlinear ion-acoustic solitary waves in a dense plasma, such as in astrophysical objects.

Dust ion-acoustic solitary waves in a dusty plasma with positive and negative ions

2008 ◽  
Vol 15 (6) ◽  
pp. 063701 ◽  
Author(s):  
F. Sayed ◽  
M. M. Haider ◽  
A. A. Mamun ◽  
P. K. Shukla ◽  
B. Eliasson ◽  
...  
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Negative Ions ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

Multi-dimensional instability of dust-ion-acoustic solitary waves in a multi-ion dusty plasma

2009 ◽  
Vol 75 (4) ◽  
pp. 475-493 ◽  
Author(s):  
M. G. M. ANOWAR ◽  
A. A. MAMUN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Perturbation Expansion ◽  
Negative Ions ◽  
Dusty Plasmas ◽  
Instability Criterion ◽  
Ion Acoustic ◽  
Dimensional Instability

AbstractThe basic features of obliquely propagating dust-ion-acoustic (DIA) solitary waves, and their multi-dimensional instability in a magnetized multi-ion dusty plasma containing hot adiabatic inertia-less electrons, cold positive and negative ions, and negatively charged static dust have been theoretically investigated by the reductive perturbation method, and the small-k perturbation expansion technique. The combined effects of electron adiabaticity, external magnetic field (obliqueness), and negative ions, which are found to significantly modify the basic properties (speed, amplitude, width, and instability) of small but finite-amplitude DIA solitary waves, are explicitly examined. It is also found that the instability criterion and the growth rate are significantly modified by the external magnetic field, the propagation directions of both the nonlinear waves and their perturbation modes, and the presence of negative ions. The implications of our results in space and laboratory dusty plasmas are briefly discussed.

Electrostatic solitary waves and double layers in a non-extensive dusty plasma with arbitrarily charged dust

2013 ◽  
Vol 79 (5) ◽  
pp. 635-640 ◽  
Author(s):  
H. ALINEJAD ◽  
M. TRIBECHE
Keyword(s):  
Integral Equation ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Localized States ◽  
Nonlinear Propagation ◽  
Double Layers ◽  
Charged Dust ◽  
Number Density ◽  
Ion Acoustic

AbstractThe nonlinear propagation of dust ion-acoustic (DIA) solitary waves (SWs) as well as double layers (DLs) in a dusty plasma containing warm adiabatic ions, non-extensive electrons, and arbitrarily (positively or negatively) charged immobile dust are studied. Based on the energy-like integral equation, a new relationship between the localized electrostatic disturbances and dust polarity in the non-extensive dusty plasma is derived. It is shown that the effect of electron non-extensivity, in contrast to the influence of extensive electrons, is destructive for the formation of the SWs and DLs. It is also found that the negative (positive) dust number density raises (reduces) the possibility for the formation of these localized states.

Observation of rarefactive ion acoustic solitary waves in dusty plasma containing negative ions

2009 ◽  
Vol 16 (6) ◽  
pp. 063701 ◽  
Author(s):  
Nirab Chandra Adhikary ◽  
Manoj Kumar Deka ◽  
Heremba Bailung
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Negative Ions ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

Obliquely propagating dust–ion acoustic solitary waves and their multidimensional instabilities in magnetized dusty plasmas with bi-maxwellian electrons

2013 ◽  
Vol 91 (7) ◽  
pp. 530-536 ◽  
Author(s):  
M.M. Masud ◽  
N.R. Kundu ◽  
A.A. Mamun
Keyword(s):  
Solitary Waves ◽  
Perturbation Technique ◽  
Dusty Plasmas ◽  
Nonlinear Propagation ◽  
Instability Criterion ◽  
Magnetized Dusty Plasma ◽  
Perturbation Mode ◽  
Ion Acoustic ◽  
Higher Temperature ◽  
Dia Waves

The nonlinear propagation of dust–ion acoustic (DIA) waves in an obliquely propagating magnetized dusty plasma, consisting of bi-maxwellian electrons (namely lower and higher temperature maxwellian electrons), negatively charged immobile dust grains, and inertial ions is rigorously investigated by deriving the Zakharov–Kuznetsov equation. Later, the multidimensional instability of the DIA solitary waves (DIASWs) is analyzed using the small-k perturbation technique. It is investigated that the nature of the DIASWs, the instability criterion, and the growth rate of the perturbation mode are significantly modified by the external magnetic field and the propagation directions of both the nonlinear waves and their perturbation modes. The implications of the results obtained from this investigation in space and laboratory dusty plasmas are briefly discussed.

scholarly journals Dust Ion Acoustic Solitary Waves in Multi-Ion Dusty Plasma System

2019 ◽  
pp. 1-5 ◽  
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Negative Ions ◽  
Theoretical Work ◽  
Dark Soliton ◽  
Reductive Perturbation Method ◽  
Plasma System ◽  
Limited Region ◽  
Ion Acoustic ◽  
Dusty Plasma System

A theoretical work has done to observe the existence of dust ion-acoustic (DIA) solitary waves (SWs) in a multi-ion dusty plasma system consisting of inertial positive and negative ions, Maxwell’s electrons, and arbitrary charged stationary dust. In this short communication, our research declares that with these components the derivation of Korteweg-de Vries (K-dV) and mixed K-dV (mK-dV) is possible. Here reductive perturbation method has been employed in all these approaches. The first K-dV equation has been derived which gave both bright and dark solitons but for a very limited region. Then the mK-dV equation has been derived that gave bright soliton for a large region, but no dark soliton has been observed.

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