Higher-order corrections to dust ion-acoustic soliton in a quantum dusty plasma

2010 ◽  
Vol 17 (10) ◽  
pp. 103705 ◽  
Author(s):  
Prasanta Chatterjee ◽  
Brindaban Das ◽  
Ganesh Mondal ◽  
S. V. Muniandy ◽  
C. S. Wong
Keyword(s):  
Dusty Plasma ◽  
Higher Order ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton ◽  
Higher Order Corrections

Higher order corrections to dust-acoustic ZK-solitons in a magnetized quantum dusty plasma

2013 ◽  
Vol 346 (1) ◽  
pp. 191-201 ◽  
Author(s):  
Malay Kumar Ghorui ◽  
Ganesh Mondal ◽  
Prasanta Chatterjee
Keyword(s):  
Dusty Plasma ◽  
Higher Order ◽  
Dust Acoustic ◽  
Higher Order Corrections

Higher-order corrections to the ion-acoustic waves in a relativistic plasma (isothermal case)

1988 ◽  
Vol 40 (2) ◽  
pp. 359-367 ◽  
Author(s):  
Gobinda Pada Pakira ◽  
A. Roy Chowdhury ◽  
S. N. Paul
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Type Equation ◽  
Higher Order ◽  
Relativistic Plasma ◽  
Singular Perturbation Technique ◽  
Ion Acoustic ◽  
Physical Profile ◽  
Higher Order Corrections

As a continuation of our earlier work, we have analysed the higher-order perturbative corrections to the formation of (ion-acoustic) solitary waves in a relativistic plasma. It is found that the relativistic considerations affect the amplitude and width variation - as conjectured in our previous paper. Our analysis employs a higher-order singular perturbation technique, with the elimination of secular terms in stages. In this way we arrive at an inhomogeneous KdV-type equation, which is then solved exactly. At this point a new phenomena arises at a critical value of the phase velocity at which the coefficient of the nonlinear term in the KdV equation vanishes. A new set of stretched co-ordinate is then used to derive a modified KdV equation. In both cases we have numerically computed the specific physical profile of the new solitary wave and its width.

Higher-order corrections to nonlinear dust-ion-acoustic shock waves in a degenerate dense space plasma

2014 ◽  
Vol 354 (2) ◽  
pp. 385-393 ◽  
Author(s):  
S. K. El-Labany ◽  
W. F. El-Taibany ◽  
A. E. El-Samahy ◽  
A. M. Hafez ◽  
A. Atteya
Keyword(s):  
Shock Waves ◽  
Space Plasma ◽  
Higher Order ◽  
Ion Acoustic ◽  
Ion Acoustic Shock Waves ◽  
Higher Order Corrections

The Effect of Higher-Order Corrections on the Propagation of Nonlinear Dust-Acoustic Solitary Waves in a Dusty Plasma with Nonthermal Ions Distribution

2008 ◽  
Vol 63 (5-6) ◽  
pp. 261-272 ◽  
Author(s):  
Hesham G. Abdelwahed ◽  
Emad K. El-Shewy ◽  
Mohsen A. Zahran ◽  
Mohamed T. Attia
Keyword(s):  
Dusty Plasma ◽  
Kdv Equation ◽  
Higher Order ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Ion Distributions ◽  
Kdv Equations ◽  
Dust Acoustic ◽  
Renormalization Method ◽  
Higher Order Corrections

Propagation of nonlinear dust-acoustic (DA) waves in a unmagnetized collisionless mesospheric dusty plasma containing positively and negatively charged dust grains and nonthermal ion distributions are investigated. For nonlinear DA waves, a reductive perturbation method is employed to obtain a Korteweg-de Vries (KdV) equation for the first-order potential. As it is well-known, KdV equations contain the lowest-order nonlinearity and dispersion, and consequently can be adopted for only small amplitudes. As the wave amplitude increases, the width and velocity of a soliton can not be described within the framework of KdV equations. So, we extend our analysis and take higher-order nonlinear and dispersion terms into account to clarify the essential effects of higher-order corrections. Moreover, in order to study the effects of higher-order nonlinearity and dispersion on the output solution, we address an appropriate technique, namely the renormalization method.

scholarly journals Contribution of Higher-Order Dispersion to Nonlinear Dust Ion Acoustic Waves in Inhomogeneous Mesospheric Dusty Plasma with Dust Charge Fluctuation

2010 ◽  
Vol 65 (1-2) ◽  
pp. 91-99 ◽  
Author(s):  
Mohamed T. Attia ◽  
Mohsen A. Zahran ◽  
Emad K. El-Shewy ◽  
Ahmed E. Mowafy
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Kdv Equation ◽  
Variable Coefficients ◽  
Higher Order ◽  
Ion Acoustic Waves ◽  
Dust Charge ◽  
Ion Acoustic ◽  
Dust Ion Acoustic Waves ◽  
Order Dispersion

AbstractThe propagation of dust ion acoustic waves (DIAWs) in a weakly inhomogeneous, weakly coupled, collisionless, and unmagnetized four components dusty plasma are examined. The fluid system considered in this work consists of cold positive ions, cold negatively and positively charged dust particles associated with isothermal electrons. For nonlinear (DIAW) waves, a reductive perturbation method was employed to obtain the variable coefficients Kortewege-de Vries (KdV) equation for the first-order potential. For local inhomogenity, the present system admits the coexistence of rarefactive and compressive solitons. As a matter of fact, when the wave amplitude enlarged, the width and velocity of the wave deviate from the prediction of the KdV equation. It means that we have to extend our analysis to obtain the variable coefficients Kortewege-de Vries (KdV) equation with fifth-order dispersion term. For locally constant parameters, the higher-order solution for the resulting equation has been achieved via what is called perturbation technique. The effects of positive and negative dust charge fluctuations on the higher-order soliton amplitude and width of electrostatic solitary structures are outlined.

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