DIA and DA solitary waves in adiabatic dusty plasmas

2009 ◽  
Vol 75 (3) ◽  
pp. 413-431 ◽  
Author(s):  
A. A. MAMUN ◽  
N. JAHAN ◽  
P. K. SHUKLA
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Dusty Plasmas ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Combined Effects ◽  
Arbitrary Amplitude ◽  
Basic Features ◽  
Adiabatic Dusty Plasma ◽  
Pseudo Potential

AbstractWe consider an adiabatic dusty plasma containing adiabatic inertialess electrons, adiabatic ions, and adiabatic negatively charged dust. The basic features of the dust–ion-acoustic (DIA) as well as the dust-acoustic (DA) solitary waves (SWs) in such an adiabatic dusty plasma are investigated using the reductive perturbation method, which is valid for small amplitude SWs, and by the pseudo-potential approach which is valid for arbitrary amplitude SWs. The combined effects of the adiabaticity of electrons/ions and negatively charged static/mobile dust on the basic features (polarity, speed, amplitude and width) of small as well as arbitrary amplitude DIA and DA SWs are examined explicitly. It is found that the combined effects of the adiabaticity of electrons/ions and negatively charged static/mobile dust significantly modify the basic features (polarity, speed, amplitude and width) of the DIA and DA SWs. The implications of our results in space and laboratory dusty plasmas are discussed briefly.

Adiabatic effects of electrons and ions on electro-acoustic solitary waves in an adiabatic dusty plasma

2009 ◽  
Vol 75 (1) ◽  
pp. 99-110 ◽  
Author(s):  
FATEMA TANJIA ◽  
A. A. MAMUN
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Dusty Plasmas ◽  
Reductive Perturbation Method ◽  
Basic Properties ◽  
Electrons And Ions ◽  
Ion Acoustic ◽  
Different Types ◽  
Adiabatic Dusty Plasma ◽  
Cold Dust

AbstractA dusty plasma consisting of negatively charged cold dust, adiabatic hot ions, and inertia-less adiabatic hot electrons has been considered. The adiabatic effects of electrons and ions on the basic properties of electro-acoustic solitary waves associated with different types of electro-acoustic (viz. ion-acoustic (IA), dust ion-acoustic (DIA), and dust acoustic (DA)) waves are thoroughly investigated by the reductive perturbation method. It is found that the basic properties of the IA, DIA, and DA waves are significantly modified by the adiabatic effects of ions and inertia-less electrons. The implications of our results in space and laboratory dusty plasmas 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.

Cylindrical and spherical solitary waves in a dusty non-thermal plasma

2012 ◽  
Vol 78 (6) ◽  
pp. 629-634 ◽  
Author(s):  
S. ISLAM ◽  
A.A. MAMUN ◽  
A. MANNAN
Keyword(s):  
Solitary Waves ◽  
Thermal Plasma ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Laboratory Plasma ◽  
Gardner Equation ◽  
Modified Gardner Equation ◽  
Non Thermal Plasma ◽  
Basic Characteristics ◽  
Basic Features

AbstractA theoretical investigation of the basic characteristics of cylindrical and spherical dust-ion-acoustic (DIA) solitary waves (SWs) is made in a dusty non-thermal plasma, whose constituents are non-thermal electrons, inertial ions, and arbitrarily charged stationary dust. The reductive perturbation method is used to derive the modified Gardner equation. The latter is numerically analyzed for both positively and negatively charged dust. The basic features of cylindrical and spherical DIA SWs, which are found to exist in such a dusty non-thermal plasma, are identified. The implications of our results to both space and laboratory plasma situations are also discussed briefly.

Non-planar dust-acoustic solitary waves and double layers in a four-component dusty plasma with super thermal electrons

2013 ◽  
Vol 79 (5) ◽  
pp. 691-698 ◽  
Author(s):  
PRASANTA CHATTERJEE ◽  
DEB KUMAR GHOSH ◽  
UDAY NARAYAN GHOSH ◽  
BISWAJIT SAHU
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Nonlinear Coefficient ◽  
Thermal Parameter ◽  
Reductive Perturbation Method ◽  
Double Layers ◽  
Planar Geometry ◽  
Charged Dust ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic

AbstractThe properties of non-planar (cylindrical and spherical) dust-acoustic solitary waves (DA SWs) and double layers (DLs) in an unmagnetised collisionless four-component dusty plasma, whose constituents are positively and negatively charged dust grains, super thermal electrons and Boltzmannian ions are investigated by deriving the modified Gardner (MG) equation. The well known reductive perturbation method is employed to derive the MG equation and solve it numerically to study the nonlinear features of the finite amplitude non-planar DA Gardner solitons (GSs) and DLs, which are shown to exist for κ around its critical value κc (where, κ is the super thermal parameter and κc is the value of κ corresponding to the vanishing of the nonlinear coefficient of the Korteweg-de Vries (K-dV) equation). It is seen that the properties of non-planar DA SWs and DLs are significantly differs in non-planar geometry from planar geometry. It is also found that the magnitude of the amplitude of positive and negative GSs decreases with κ and the width of positive and negative GSs increases with the increase of κ.

Dust ion-acoustic solitary waves in a magnetized dusty electronegative plasma

2010 ◽  
Vol 77 (1) ◽  
pp. 133-143 ◽  
Author(s):  
M. G. M. ANOWAR ◽  
K. S. ASHRAFI ◽  
A. A. MAMUN
Keyword(s):  
Solitary Waves ◽  
Solitary Wave Solution ◽  
Kdv Equation ◽  
Negative Ions ◽  
Dusty Plasmas ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Electronegative Plasma ◽  
Ion Acoustic ◽  
Basic Features

AbstractThe basic features of obliquely propagating dust ion-acoustic (DIA) solitary waves in an adiabatic magnetized dusty electronegative plasma (containing Boltzmann electrons, Boltzmann negative ions, adiabatic positive ions, and negatively charged stationary dust) have been investigated. The reductive perturbation method has been employed to derive the Korteweg–de Vries (KdV) equation which admits a solitary wave solution. The combined effects of ion adiabaticity and external magnetic field (obliqueness), which are found to significantly modify the basic features of the small but finite-amplitude DIA solitary waves, are explicitly examined. The implications of our results in space and laboratory dusty plasmas are briefly discussed.

Dust-ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and non-thermal electrons

2012 ◽  
Vol 78 (6) ◽  
pp. 677-681 ◽  
Author(s):  
N. R. KUNDU ◽  
A. A. MAMUN
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Vries Equation ◽  
Perturbation Technique ◽  
Charged Dust ◽  
Positive Ions ◽  
Ion Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Ion Acoustic ◽  
Basic Features

AbstractThe dust-ion-acoustic solitary waves (DIA SWs) in an unmagnetized dusty plasma containing non-thermal electrons, cold mobile positive ions, and stationary arbitrarily (positively and negatively) charged static dust have been theoretically studied. The reductive perturbation technique has been employed to derive the Korteweg-de Vries equation, which admits SW solutions under certain conditions. It has been also shown that the basic features (amplitude, width, speed, etc.) of DIA SWs are significantly modified by the polarity of dust and non-thermal electrons. The implications of our results in space and laboratory dusty plasma situations are briefly discussed.

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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