scholarly journals Comparative study of dust acoustic solitons in two-temperature ion homogeneous and inhomogeneous plasmas

2020 ◽  
Vol 14 (1) ◽  
pp. 11-20 ◽  
Author(s):  
Rashmi Srivastava ◽  
Hitendra K. Malik ◽  
Devi Singh
Keyword(s):  
Solitary Waves ◽  
Inhomogeneous Plasma ◽  
Low Frequency ◽  
Soliton Solutions ◽  
Dusty Plasmas ◽  
Number Density ◽  
Dust Charge ◽  
Plasma Species ◽  
Dust Acoustic ◽  
Two Temperature

AbstractThe dust acoustic solitary waves are theoretically investigated in dusty plasmas for different cases of with and without density gradients. These low-frequency solitary waves are studied using appropriate Korteweg–de Vries equations obtained using relevant stretched coordinates. The soliton solutions in homogeneous plasma, weakly inhomogeneous plasma and strongly inhomogeneous plasma, are thoroughly investigated for studying the effect of different parameters like dust charge and density of all the plasma species on the soliton profiles. The combination of the dust charge with its number density changes the dynamics of the solitons and that is further affected by the number density of the hot ion with respect to the cold ions.

Symmetries, conservation laws and dust acoustic solitons of two-temperature ion in inhomogeneous plasma

2021 ◽  
pp. 2150071
Author(s):  
Amjad Hussain ◽  
Adil Jhangeer ◽  
Naseem Abbas
Keyword(s):  
Solitary Waves ◽  
Inhomogeneous Plasma ◽  
Sufficient Conditions ◽  
Algebraic Method ◽  
Ion Density ◽  
Dust Charge ◽  
Weak Density ◽  
Dust Acoustic ◽  
Physical Impact ◽  
Two Temperature

In this paper, we investigate dust acoustic solitary waves in dusty inhomogeneous plasma with a weak density gradient. For this, Lie analysis is utilized and solitary waves are obtained with the aid of the newly extended direct algebraic method. The solutions so obtained carry a variety of some new families including dark-bright, dark, dark-singular, and singular solutions of types [Formula: see text] and [Formula: see text]. The sufficient conditions for the existence of these structures are given. Meantime, the effect of parameters like dust charge, cold ion density, and number density on the soliton structures are investigated in detail, which shows that dust charge affects the amplitude but density does not put any impact on soliton’s profile. A graphical approach is practiced to discuss the physical impact of the problem. Finally, by using a multiplier approach, conserved quantities are reported.

Nonlinear low-frequency waves in dusty self-gravitating plasmas

2000 ◽  
Vol 64 (4) ◽  
pp. 359-370 ◽  
Author(s):  
VICTORIA V. YAROSHENKO ◽  
FRANK VERHEEST
Keyword(s):  
Solitary Waves ◽  
Modulational Instability ◽  
Low Frequency ◽  
Nonlinear Effects ◽  
Dusty Plasmas ◽  
Short Wave ◽  
Electrostatic Waves ◽  
Significant Difference ◽  
Dust Acoustic ◽  
Limiting Case

Nonlinear electrostatic waves in self-gravitating dusty plasmas are considered in two limiting cases, according to whether the charged-particle dynamics is governed mostly by electrostatic forces or mostly by gravitation. This shows a significant difference between these two plasma media with respect to the envelope dynamics in the nonlinear regime. In the former case, when ω2pα > ω2Jα, the amplitude perturbations are longitudinally unstable only in the short-wave range, and the nonlinear effects can result in the formation of longitudinal dust-acoustic solitary waves. But even weak self-gravitational effects can lead to the existence of a long-wavelength range, where self-gravitation prevents the formation of dust-acoustic solitons, and only transverse solitary structures are possible. In the other limiting case (ω2pα < ω2Jα), there is always a transverse modulational instability, which can lead to transverse solitary waves. In both cases, there is a threshold for solitary-wave formation.

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