Nonplannar Nonlinear Dust ion Acoustics Solitary and Shock Waves in a Dusty Multi-ion Plasma

2015 ◽  
Vol 9 (3) ◽  
pp. 2476-2486
Author(s):  
Md. Alamgir Hossain ◽  
S. S. Duha ◽  
A. A. Mamun
Keyword(s):  
Solitary Waves ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Charge Fluctuation ◽  
Dust Charge ◽  
Ion Plasma ◽  
And Shock Waves ◽  
Neutrality Condition ◽  
Solitary And Shock Waves ◽  
Dia Waves

We have presented a stern theoretical exploration of the nonplannar and nonlinear propagation of dust-ion acoustic (DIA) waves in a dusty multi-ion plasma. We studied the progation of nonplannar non-linear DIA waves by the reductive perturbation method which leads to the the derivation of the Burgers [Korteweg de-Vries (K-dV)] equation for the shock (solitary) wave propagation. The shock (solitary) waves are found to be formed in a multi-ion dusty plasma due to the balance between nonlinearity and dissipation (dispersion), and that the dissipation (dispersion) arises due to the dust charge fluctuation (deviation of charge neutrality condition). We have analized the effects of nonplannar and nonlinear geometry on the DIA shock and solitary waves propagating in such a dusty multi-ion plasma. We have shown that the nonplanar (cylindrical and spherical) solitary and shock structures are significantly different from planner ones.

Effects of vortex-like (trapped) electron distribution on non-linear dust-acoustic waves with positive dust charge fluctuation

2010 ◽  
Vol 76 (3-4) ◽  
pp. 477-485 ◽  
Author(s):  
M. R. AMIN ◽  
SANJIT K. PAUL ◽  
GURUDAS MANDAL ◽  
A. A. MAMUN
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Electron Distribution ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Charge Fluctuation ◽  
Dust Charge ◽  
Dust Acoustic ◽  
Dust Grain ◽  
Trapped Electron

AbstractThe nonlinear propagation of dust-acoustic (DA) waves in a dusty plasma consisting of Boltzmann-distributed ions, vortex-like distributed electrons and mobile charge fluctuating positive dust has been investigated by employing the reductive perturbation method. The effects of dust grain charge fluctuation and the vortex-like electron distribution are found to modify the properties of the DA solitary waves significantly. The implications of these results for some space and astrophysical dusty plasma systems are briefly mentioned.

Compressive and rarefactive dust ion-acoustic solitary waves with degenerate electron–positron–ion plasma

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
K. N. Mukta ◽  
M. S. Zobaer ◽  
N. Roy ◽  
A. A. Mamun
Keyword(s):  
Solitary Waves ◽  
Solitary Wave Solution ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Degenerate Electron ◽  
Plasma Parameters ◽  
Solitary Structures ◽  
Ion Acoustic ◽  
Basic Features ◽  
Dia Waves

The nonlinear propagation of dust ion-acoustic (DIA) waves in a unmagnetized collisionless degenerate dense plasma (containing degenerate electron and positron, and classical ion fluids) has been theoretically investigated. The K-dV equation has been derived by employing the reductive perturbation method and by taking into account the effect of different plasma parameters in plasma fluid. The stationary solitary wave solution of K-dV equation is obtained, and numerically analyzed to identify the basic properties of DIA solitary structures. It has been shown that depending on plasma parametric values, the degenerate plasma under consideration supports compressive or rarefactive solitary structures. It has been also found that the effect of pressures on electrons, ions, and positrons significantly modify the basic features of solitary waves that are found to exist in such a plasma system. The relevance of our results in astrophysical objects such as white dwarfs and neutron stars, which are of scientific interest, is discussed briefly.

Ion acoustic solitary waves in magnetized anisotropic nonextensive plasmas

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Muhammad Khalid ◽  
Mohsin Khan ◽  
Ata ur-Rahman ◽  
Muhammad Irshad
Keyword(s):  
Solitary Waves ◽  
Type Equation ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Astrophysical Plasma ◽  
Parallel Component ◽  
Pressure Anisotropy ◽  
Ion Acoustic ◽  
Tsallis Distribution ◽  
Perpendicular Component

Abstract The nonlinear propagation of ion-acoustic (IA) electrostatic solitary waves (SWs) is studied in a magnetized electron–ion (e–i) plasma in the presence of pressure anisotropy with electrons following Tsallis distribution. The Korteweg–de Vries (KdV) type equation is derived by employing the reductive perturbation method (RPM) and its solitary wave (SW) solution is determined and analyzed. The effect of nonextensive parameter q, parallel component of anisotropic ion pressure p 1, perpendicular component of anisotropic ion pressure p 2, obliqueness angle θ, and magnetic field strength Ω on the characteristics of SW structures is investigated. The present investigation could be useful in space and astrophysical plasma systems.

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.

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