Painlevé analysis, auto-Bäcklund transformation, and new exact solutions for Schamel and Schamel-Korteweg-de Vries-Burger equations in dust ion-acoustic waves plasma

2014 ◽  
Vol 21 (9) ◽  
pp. 092308 ◽  
Author(s):  
O. H. EL-Kalaawy ◽  
R. B. Aldenari
Keyword(s):  
Exact Solutions ◽  
Acoustic Waves ◽  
Bäcklund Transformation ◽  
Painlevé Analysis ◽  
Backlund Transformation ◽  
Ion Acoustic Waves ◽  
New Exact Solutions ◽  
Ion Acoustic ◽  
De Vries ◽  
Dust Ion Acoustic Waves

scholarly journals Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Lin Jianming ◽  
Ding Jie ◽  
Yuan Wenjun
Keyword(s):  
Exact Solutions ◽  
Bäcklund Transformation ◽  
Analytic Study ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Backlund Transformation ◽  
New Exact Solutions ◽  
Backlund Transformations ◽  
Painleve Analysis

The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.

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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