Canonical structure of the cylindrical Korteweg-de Vries equation for dust ion acoustic waves in unmagnetised plasma

2021 ◽  
Vol 34 (01) ◽  
Author(s):  
Hrishikesh Mondal ◽  
Keyword(s):  
Acoustic Waves ◽  
Vries Equation ◽  
Canonical Structure ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries ◽  
Dust Ion Acoustic Waves

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

scholarly journals Quasi-soliton solution of Korteweg-de Vries equation and its application in ion acoustic waves

2018 ◽  
Vol 67 (11) ◽  
pp. 110201
Author(s):  
Wang Jian-Yong ◽  
Cheng Xue-Ping ◽  
Zeng Ying ◽  
Zhang Yuan-Xiang ◽  
Ge Ning-Yi
Keyword(s):  
Soliton Solution ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries

Nonlinear cylindrical or spherical converging ion-acoustic pulses

1981 ◽  
Vol 25 (1) ◽  
pp. 1-9 ◽  
Author(s):  
E. Okutsu
Keyword(s):  
Acoustic Waves ◽  
Pulse Shape ◽  
Vries Equation ◽  
Initial Pulse ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries

The Korteweg–de Vries equation which describes cylindrical or spherical converging ion-acoustic waves is solved numerically. Soliton-like structures are shown to be generated not only from compressive but also from rarefactive and mixed initial pulses. The velocity of the soliton-like structures is dependent on the initial pulse shape.

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).

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