Effect of trapped electron on the dust ion acoustic waves in dusty plasma using time fractional modified Korteweg-de Vries equation

2013 ◽  
Vol 20 (10) ◽  
pp. 103701 ◽  
Author(s):  
A. Nazari-Golshan ◽  
S. S. Nourazar
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries ◽  
Dust Ion Acoustic Waves ◽  
Trapped Electron

Weakly nonlinear dust ion-acoustic waves in a charge varying dusty plasma with non-thermal electrons

2008 ◽  
Vol 74 (2) ◽  
pp. 245-259 ◽  
Author(s):  
MOULOUD TRIBECHE ◽  
ABDERREZAK BERBRI
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Oscillatory Behavior ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Weakly Nonlinear ◽  
Ion Acoustic ◽  
De Vries ◽  
Dust Ion Acoustic Waves ◽  
A Charge

AbstractThe weakly nonlinear dynamics of dust ion-acoustic waves (DIAWs) are investigated in a dusty plasma consisting of hot ion fluid, variable charge stationary dust grains and non-thermally distributed electrons. The Korteweg–de Vries equation, as well as the Korteweg–de Vries–Burgers equation, are derived on the basis of the well-known reductive perturbation theory. It is shown that, due to electron non-thermality and finite ion temperature, the present dusty plasma model can support compressive as well as rarefactive DIA solitary waves. Furthermore, there may exist collisionless DIA shock-like waves which have either monotonic or oscillatory behavior, the properties of which depend sensitively on the number of fast non-thermal electrons. The results complement and provide new insights into previously published results on this problem (Mamun, A. A. and Shukla, P. K. 2002 IEEE Trans. Plasma Sci. 30, 720).

Stability and instability of some nonlinear dispersive solitary waves in higher dimension

1996 ◽  
Vol 126 (1) ◽  
pp. 89-112 ◽  
Author(s):  
Anne de Bouard
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Three Dimensional ◽  
Higher Dimension ◽  
Ion Acoustic Waves ◽  
Stability And Instability ◽  
Ion Acoustic ◽  
De Vries ◽  
The Stability

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony equation.

A Modified Korteweg de Vries Equation for Ion Acoustic Waves

1974 ◽  
Vol 37 (6) ◽  
pp. 1631-1636 ◽  
Author(s):  
Kimiaki Konno ◽  
Yoshi H. Ichikawa
Keyword(s):  
Acoustic Waves ◽  
Vries Equation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries
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