Effect of nonadiabatic dust charge variations on nonlinear dust acoustic waves with nonisothermal ions

2002 ◽  
Vol 9 (4) ◽  
pp. 1150-1156 ◽  
Author(s):  
Samiran Ghosh ◽  
Susmita Sarkar ◽  
Manoranjan Khan ◽  
M. R. Gupta
2001 ◽  
Vol 63 (4) ◽  
Author(s):  
M. R. Gupta ◽  
Susmita Sarkar ◽  
Samiran Ghosh ◽  
M. Debnath ◽  
Manoranjan Khan

1998 ◽  
Vol 60 (3) ◽  
pp. 541-550 ◽  
Author(s):  
S. V. SINGH ◽  
N. N. RAO

We study the effect of charge fluctuations on the propagation of adiabatic linear and nonlinear dust-acoustic waves by considering the electrons and ions to be in Boltzmann equilibria, and the dust grains to satisfy the fluid equations with full adiabatic equation of state. Linear dust-acoustic waves are damped owing to the dust-charge fluctuations, and the damping rate decreases with increasing adiabatic dust pressure. Nonlinear dust-acoustic waves are governed by the set of coupled Boussinesq-like and dust-charge perturbation equations. It is shown that for unidirectional propagation, the Boussinesq-like equation reduces to usual Korteweg–de Vries (KdV) equation. At early times, the localized solutions of the KdV equation are damped owing to the dust-charge perturbations. The soliton amplitude decreases with increasing adiabatic dust plasma pressure and increases with Mach number. Soliton solutions are found only in the supersonic regime.


2008 ◽  
Vol 86 (12) ◽  
pp. 1381-1385 ◽  
Author(s):  
H -Y Wang ◽  
K -B Zhang

The effects of nonthermal distributed ions, the adiabatic dust-charge variation, the dust-fluid temperature, and the higher order transverse perturbations on small but finite amplitude dust acoustic waves have been investigated. A (2 + 1) Kadomtsev–Perviashvili (KP) equation and a (3 + 1) KP equation are derived by using the reductive perturbation method, respectively. Results shows that in the presence of the higher order transverse perturbations, the peak amplitude of the solitary waves may decrease, whereas their width increases as compared to the one-dimensional case. Meanwhile, not only compressive but also rarefactive solitary waves can coexist in this system. Furthermore, the nonthermally distributed ions have significant influence on the normalized dust charge.PACS No.: 52.35.Sb


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