An alternative neuronal method for non-analytic pseudo-potentials in a charge-varying dusty plasma with trapped dust grains

2013 ◽  
Vol 79 (5) ◽  
pp. 623-627
Author(s):  
L. AIT GOUGAM ◽  
M. TRIBECHE ◽  
F. MEKIDECHE ◽  
P. K. SHUKLA
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Dust Grains ◽  
Dust Trapping ◽  
Variable Charge ◽  
A Charge ◽  
Pseudo Potential

AbstractSolitary waves are investigated in a charge-varying dusty plasma involving dust trapping. A potentially useful neuronal method that may handle a wide variety of non-analytic pseudo-potentials is used. This method could be advantageously exploited in rendering a cumbersome pseudo-potential analytically more tractable. Making use of the approximate Sagdeev pseudo-potential, our results show the possibility of development of localized dust structures in a dusty plasma with variable charge trapped dust grains.

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.

Nonlinear electrostatic oscillations in a dusty plasma

2002 ◽  
Vol 67 (2-3) ◽  
pp. 115-127 ◽  
Author(s):  
H. HOUILI ◽  
M. TRIBÈCHE ◽  
T. H. ZERGUINI
Keyword(s):  
Dusty Plasma ◽  
Fixed Charge ◽  
Beam Model ◽  
Dust Grains ◽  
One Dimensional ◽  
Variable Charge ◽  
Bgk Modes ◽  
Cold Beam

Stationary nonlinear one-dimensional electrostatic oscillations in a plasma containing dust grains with variable charge are considered through a cold-beam model. The new constraints brought by the presence of dusts on the BGK modes are clarified and the appearance of a soliton mode that was not present in the fixed-charge problem is investigated.

Large Amplitude Solitary Waves in a Four-Component Dusty Plasma with Nonthermal Ions

2008 ◽  
Vol 63 (7-8) ◽  
pp. 393-399 ◽  
Author(s):  
Prasanta Chatterjee ◽  
Kaushik Roy
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Soliton Solution ◽  
Large Amplitude ◽  
Small Amplitude ◽  
Sagdeev Potential ◽  
Ion Distribution ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic ◽  
Pseudo Potential

Dust acoustic solitary waves are studied in a four-component dusty plasma. Positively and negatively charged mobile dust and Boltzmann-distributed electrons are considered. The ion distribution is taken as nonthermal. The existence of a soliton solution is determined by the pseudo-potential approach. It is shown that in small amplitude approximation our result obtained from the Sagdeev potential technique reproduce the result obtained by Sayed and Mamun [Phys. Plasmas 14, 014501 (2007)] provided one cosiders the nonthermal distribution for ions.

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