The application scope of the reductive perturbation method and the upper limit of the dust acoustic solitary waves in a dusty plasma

2014 ◽  
Vol 21 (1) ◽  
pp. 013702 ◽  
Author(s):  
Xin Qi ◽  
Yan-xia Xu ◽  
Wen-shan Duan ◽  
Lei Yang
Keyword(s):  
Perturbation Method ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Reductive Perturbation Method ◽  
Upper Limit ◽  
Dust Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Dust Acoustic ◽  
Application Scope

Localized coherent nonlinear wave structures in dusty plasma with non-thermal ions

2007 ◽  
Vol 73 (6) ◽  
pp. 921-932 ◽  
Author(s):  
TARSEM SINGH GILL ◽  
CHANCHAL BEDI ◽  
NARESHPAL SINGH SAINI ◽  
HARVINDER KAUR
Keyword(s):  
Perturbation Method ◽  
Solitary Waves ◽  
Vries Equation ◽  
Thermal Parameter ◽  
Reductive Perturbation Method ◽  
Double Layers ◽  
Dust Charge ◽  
Dust Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Dust Acoustic

AbstractIn the present research paper, the characteristics of dust-acoustic solitary waves (DASWs) and double layers (DLs) are studied. Ions are treated as non-thermal and variable dust charge is considered. The Korteweg–de Vries equation is derived using a reductive perturbation method. It is noticed that compressive solitons are obtained up to a certain range of relative density δ (=ni0/ne0) beyond which rarefactive solitons are observed. The study is further extended to investigate the possibility of DLs. Only compressive DLs are permissible. Both DASWs and DLs are sensitive to variation of the non-thermal parameter.

scholarly journals Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Abeer A. Mahmoud ◽  
Essam M. Abulwafa ◽  
Abd-alrahman F. Al-Araby ◽  
Atalla M. Elhanbaly
Keyword(s):  
Solitary Waves ◽  
Kdv Equation ◽  
Nonlinear Coefficient ◽  
Dusty Plasmas ◽  
Reductive Perturbation Method ◽  
Plasma Parameters ◽  
First Order ◽  
Dust Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Dust Acoustic

The presence and propagation of dust-acoustic solitary waves in dusty plasma contains four components such as negative and positive dust species beside ions and electrons are studied. Both the ions and electrons distributions are represented applying nonextensive formula. Employing the reductive perturbation method, an evolution equation is derived to describe the small-amplitude dust-acoustic solitons in the considered plasma system. The used reductive perturbation stretches lead to the nonlinear KdV and modified KdV equations with nonlinear and dispersion coefficients that depend on the parameters of the plasma. This study represents that the presence of compressive or/and rarefactive solitary waves depends mainly on the value of the first-order nonlinear coefficient. The structure of envelope wave is undefined for first-order nonlinear coefficient tends to vanish. The coexistence of the two types of solitary waves appears by increasing the strength of nonlinearity to the second order using the modified KdV equation.

Non-extensive effects on the characteristics of dust-acoustic solitary waves in magnetized dusty plasma with two-temperature isothermal ions

2014 ◽  
Vol 80 (4) ◽  
pp. 565-579 ◽  
Author(s):  
Akbar Sabetkar ◽  
Davoud Dorranian
Keyword(s):  
Magnetic Field ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Reductive Perturbation Method ◽  
Magnetized Dusty Plasma ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic ◽  
Cold Dust ◽  
The Magnetic Field ◽  
Two Temperature

The nonlinear Zakharov–Kuznetsov and the modified Zakharov–Kuznetsov equations are derived for dust-acoustic solitary waves (DASWs) in a magnetized four-component dusty plasma system comprising negatively charged cold dust, non-extensive electrons, and two-temperature thermal ions using standard reductive perturbation method. The combined effects of electron non-extensivity, strength of magnetic field, and its obliqueness on the DASWs profile are analyzed. Different ranges of non-extensive q-parameter are considered. Our results show that solitary waves, that their amplitude and width of which depend sensitively on the q-non-extensive parameter, can exist. Due to electron non-extensivity, our dusty plasma model can admit positive potential as well as negative potential solitons. The strength of magnetic field has no effect on the amplitude of solitary waves, whereas its obliqueness affects both amplitude and width of the solitary waves structure. Results show that the amplitude of soliton increases with increasing the velocity of soltion. For any magnitude of q there is an extremum for the direction of the magnetic field at which the width of soliton is maximum.

Non-planar dust-acoustic solitary waves and double layers in a four-component dusty plasma with super thermal electrons

2013 ◽  
Vol 79 (5) ◽  
pp. 691-698 ◽  
Author(s):  
PRASANTA CHATTERJEE ◽  
DEB KUMAR GHOSH ◽  
UDAY NARAYAN GHOSH ◽  
BISWAJIT SAHU
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Nonlinear Coefficient ◽  
Thermal Parameter ◽  
Reductive Perturbation Method ◽  
Double Layers ◽  
Planar Geometry ◽  
Charged Dust ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic

AbstractThe properties of non-planar (cylindrical and spherical) dust-acoustic solitary waves (DA SWs) and double layers (DLs) in an unmagnetised collisionless four-component dusty plasma, whose constituents are positively and negatively charged dust grains, super thermal electrons and Boltzmannian ions are investigated by deriving the modified Gardner (MG) equation. The well known reductive perturbation method is employed to derive the MG equation and solve it numerically to study the nonlinear features of the finite amplitude non-planar DA Gardner solitons (GSs) and DLs, which are shown to exist for κ around its critical value κc (where, κ is the super thermal parameter and κc is the value of κ corresponding to the vanishing of the nonlinear coefficient of the Korteweg-de Vries (K-dV) equation). It is seen that the properties of non-planar DA SWs and DLs are significantly differs in non-planar geometry from planar geometry. It is also found that the magnitude of the amplitude of positive and negative GSs decreases with κ and the width of positive and negative GSs increases with the increase of κ.

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