Higher order corrections to dust-acoustic shock waves in a strongly coupled cryogenic dusty plasma

2017 ◽  
Vol 24 (11) ◽  
pp. 113706 ◽  
Author(s):  
M. A. El-Borie ◽  
A. Atteya
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Higher Order ◽  
Strongly Coupled ◽  
Dust Acoustic ◽  
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

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.

Effects of polarization force and fast electrons on DA shock waves in a strongly coupled dusty plasma

2012 ◽  
Vol 79 (1) ◽  
pp. 1-6 ◽  
Author(s):  
S. PERVIN ◽  
S. S. DUHA ◽  
M. ASADUZZAMAN ◽  
A. A. MAMUN
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Charged Dust ◽  
Plasma System ◽  
Strongly Coupled ◽  
Polarization Force ◽  
Dust Acoustic ◽  
Basic Features ◽  
Strongly Coupled Dusty Plasma ◽  
Dusty Plasma System

AbstractA strongly coupled dusty plasma system consisting of non-thermal electrons, Maxwellian ions, and negatively charged dust in presence of polarization force has been considered. The nonlinear propagation of dust-acoustic shock waves in such a dusty plasma system has been theoretically investigated by employing the reductive perturbation method. The effects of the polarization force and non-thermal electrons, on the properties of these dust-acoustic shock waves are briefly discussed. It is shown that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of the dust-acoustic shock waves. It has been found that the effects of polarization force and non-thermal electrons significantly modify the basic features of such shock waves. It has been proposed to design a new laboratory experiment, which will be able to identify the basic features of the dust-acoustic shock waves predicted in this present investigation.

Effects of polarization force and nonthermal ions on dust-acoustic (DA) shock waves in a strongly coupled dusty plasma with positively charged dust

Open Physics ◽  
2014 ◽  
Vol 12 (11) ◽  
Author(s):  
Shikha Pervin ◽  
Khandaker Ashrafi ◽  
M. Zobaer ◽  
Md. Salahuddin ◽  
A. Mamun
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Nonlinear Propagation ◽  
Charged Dust ◽  
Dust Grains ◽  
Strongly Coupled ◽  
Polarization Force ◽  
Dust Acoustic ◽  
Strongly Coupled Dusty Plasma ◽  
Positively Charged

AbstractThe nonlinear propagation of the dust-acoustic (DA) waves in a strongly coupled dusty plasma containing Maxwellian electrons, nonthermal ions, and positively charged dust is theoritically investigated by a Burgers equation. The effects of the polarization force (which arises due to the interaction between electrons and highly positively charged dust grains) and nonthermal ions are studied. DA shock waves are found to exist with positive potential only. It represents that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of DA shock waves. The effects of polarization force and nonthermal ions significantly modified the basic features of DA shock waves in strongly coupled dusty plasma.

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