Obliquely Propagating Solitary Dust-Acoustic Holes in a Hot Magnetized Two-Ion-Temperature Dusty Plasma

1999 ◽  
Vol 59 (6) ◽  
pp. 454-457 ◽  
Author(s):  
A A Mamun
Keyword(s):  
Dusty Plasma ◽  
Ion Temperature ◽  
Dust Acoustic

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.

Dust-acoustic solitary waves in a finite temperature dusty plasma with variable dust charge and two temperature ions

2004 ◽  
Vol 70 (4) ◽  
pp. 481-495 ◽  
Author(s):  
TARSEM SINGH GILL ◽  
HARVINDER KAUR ◽  
NARESHPAL SINGH SAINI
Keyword(s):  
Mach Number ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Ion Concentration ◽  
Ion Temperature ◽  
Relative Temperature ◽  
Dust Charge ◽  
Dust Temperature ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic

In this paper, the characteristics of dust-acoustic solitary waves in dusty plasma are studied. Dust charge and temperature are treated as variables. The authors have used the pseudopotential method to investigate the possibility of compressive as well as rarefactive solitons. An expression for the pseudopotential has been derived. The pseudopotential is a function of the Mach number, the relative temperature of low and high ion components, the relative ion concentration of dust charge and the temperature. Numerical computation shows that for the chosen set of parameters, only compressive solitons exist and their amplitudes increase with increasing Mach number. An increase in the dust temperature results in the disappearance of the compressive soliton. It is the only small parameter regime where compressive as well rarefactive solitons coexist. The effect of the relative ion temperature on solitons is also investigated. In the small amplitude limit, an increase in the dust temperature leads to a transition from compressive to rarefactive solitons.

The stability of the dust acoustic waves under transverse perturbations in a magnetized and collisionless dusty plasma

2013 ◽  
Vol 80 (3) ◽  
pp. 425-436 ◽  
Author(s):  
Dong-Ning Gao ◽  
Xin Qi ◽  
Xue-Ren Hong ◽  
Xue Yang ◽  
Wen-Shan Duan ◽  
...  
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Perturbation Technique ◽  
Higher Order ◽  
Ion Temperature ◽  
Dust Acoustic Waves ◽  
Zk Equation ◽  
Theoretical Investigations ◽  
Dust Acoustic ◽  
The Stability

Numerical and theoretical investigations are carried out for the stability of the dust acoustic waves (DAWs) under the transverse perturbation in a two-ion temperature magnetized and collisionless dusty plasma. The Zakharov-Kuznetsov (ZK) equation, modified ZK equation, and Extended ZK (EZK) equation of the DAWs are given by using the reductive perturbation technique. The cut-off frequency is obtained by applying higher-order transverse perturbations to the soliton solution of the EZK equation. The propagation velocity of solitary waves, the real cut-off frequency, as well as the growth rate of the higher-order perturbation to the solitary wave are obtained.

Nonlinear dust acoustic waves in an inhomogeneous magnetized quantum dusty plasma

2021 ◽  
pp. 1-16
Author(s):  
A. Atteya ◽  
M. A. El-Borie ◽  
G. D. Roston ◽  
A. S. El-Helbawy
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Dust Acoustic Waves ◽  
Dust Acoustic
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