Analytical solitary wave solution of the dust ion acoustic waves for the damped forced modified Korteweg-de Vries equation in q-nonextensive plasmas

2019 ◽  
Vol 228 (12) ◽  
pp. 2753-2768 ◽  
Author(s):  
Laxmikanta Mandi ◽  
Kajal Kumar Mondal ◽  
Prasanta Chatterjee
Keyword(s):  
Solitary Wave ◽  
Acoustic Waves ◽  
Wave Solution ◽  
Vries Equation ◽  
Solitary Wave Solution ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries ◽  
Dust Ion Acoustic Waves

Analytical Solitary Wave Solution of the Dust Ion Acoustic Waves for the Damped Forced Korteweg–de Vries Equation in Superthermal Plasmas

2018 ◽  
Vol 73 (2) ◽  
pp. 151-159 ◽  
Author(s):  
Prasanta Chatterjee ◽  
Rustam Ali ◽  
Asit Saha
Keyword(s):  
Solitary Wave ◽  
Acoustic Waves ◽  
Wave Solution ◽  
Solitary Wave Solution ◽  
Perturbation Technique ◽  
Dusty Plasmas ◽  
Periodic Force ◽  
Ion Acoustic ◽  
De Vries ◽  
Dia Waves

AbstractAnalytical solitary wave solution of the dust ion acoustic (DIA) waves was studied in the framework of the damped forced Korteweg–de Vries (DFKdV) equation in superthermal collisional dusty plasmas. The reductive perturbation technique was applied to derive the DKdV equation. It is observed that both the rarefactive and compressive solitary wave solutions are possible for this plasma model. The effects of κ and the strength (f0) and frequency (ω) of the external periodic force were studied on the analytical solitary wave solution of the DIA waves. It is observed that the parameters κ, f0 and ω have significant effects on the structure of the damped forced DIA solitary waves. The results of this study may have relevance in laboratory plasmas as well as in space plasmas.

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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