Effect of q-nonextensive distribution of electrons on dust acoustic shock waves in strongly coupled dusty plasmas

2011 ◽  
Vol 89 (10) ◽  
pp. 1073-1078 ◽  
Author(s):  
Hamid Reza Pakzad
Keyword(s):  
Shock Waves ◽  
Acoustic Waves ◽  
Burgers Equation ◽  
Dusty Plasmas ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Nonextensive Electrons ◽  
Strongly Coupled ◽  
Dust Acoustic ◽  
Nonextensive Distribution

The reductive perturbation method is used to derive the Kordeweg – de Vries – Burgers equation in strongly coupled dusty plasmas containing Boltzmann distributed ions and q-nonextensive electrons. It is observed that the nonlinear propagation of the dust acoustic waves gives rise to shock structures when there is strong correlation among the dust grains. The effect of the q-nonextensive parameter on the shock waves is discussed.

Dust-acoustic waves in strongly coupled dusty plasmas with nonextensive electrons and ions

2012 ◽  
Vol 90 (7) ◽  
pp. 675-681 ◽  
Author(s):  
E.I. El-Awady ◽  
M. Djebli
Keyword(s):  
Acoustic Waves ◽  
Dusty Plasmas ◽  
Reductive Perturbation Method ◽  
Dust Acoustic Waves ◽  
Strongly Coupled ◽  
Electrons And Ions ◽  
Dust Acoustic ◽  
Nonlinear Features ◽  
Solitary And Shock Waves ◽  
Nonextensive Distribution

The nonlinear features of dust-acoustic waves in a strongly coupled unmagnetized dusty plasma containing electrons and ions following q-nonextensive distribution, and negatively charged mobile dust are investigated by using the reductive perturbation method. The effects of important parameters, such as the q-parameter, temperature, density, and velocity on the properties of solitary and shock waves are discussed. The conditions for the formation of solitary structures and monotonic and oscillatory shock structures are also found. The implications of our result in space and laboratory dusty plasmas are discussed.

Dust acoustic waves in strongly coupled dusty plasmas

1997 ◽  
Vol 56 (6) ◽  
pp. 7166-7173 ◽  
Author(s):  
M. Rosenberg ◽  
G. Kalman
Keyword(s):  
Acoustic Waves ◽  
Dusty Plasmas ◽  
Dust Acoustic Waves ◽  
Strongly Coupled ◽  
Dust Acoustic

Effect of Higher-Order Corrections on the Propagation of Nonlinear Dust-Acoustic Solitary Waves in Mesospheric Dusty Plasmas

2006 ◽  
Vol 61 (7-8) ◽  
pp. 316-322 ◽  
Author(s):  
Sayed A. Elwakil ◽  
Mohamed T. Attia ◽  
Mohsen A. Zahran ◽  
Emad K. El-Shewy ◽  
Hesham G. Abdelwahed
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Type Equation ◽  
Dusty Plasmas ◽  
Higher Order ◽  
Reductive Perturbation Method ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic ◽  
Renormalization Method ◽  
Higher Order Corrections

The contribution of the higher-order correction to nonlinear dust-acoustic waves are studied using the reductive perturbation method in an unmagnetized collisionless mesospheric dusty plasma. A Korteweg - de Vries (KdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation, and a linear inhomogeneous (KdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution is achived via renormalization method

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