Arbitrary amplitude dust-acoustic solitons in a weakly non-ideal plasma with non-thermal ions

2007 ◽  
Vol 73 (5) ◽  
pp. 671-686 ◽  
Author(s):  
S. K. MAHARAJ ◽  
R. BHARUTHRAM ◽  
S. R. PILLAY
Keyword(s):  
Soliton Solutions ◽  
Thermal Parameter ◽  
Nonlinear Propagation ◽  
Charged Dust ◽  
Dust Acoustic Wave ◽  
Dust Acoustic ◽  
Arbitrary Amplitude ◽  
Dust Fluid ◽  
Lower Limits ◽  
Ideal Plasma

AbstractThe nonlinear propagation of the dust-acoustic wave is investigated in a weakly non-ideal plasma comprising Boltzmann electrons, non-thermal ions characterized by a non-thermal parameter α and a negatively charged dust fluid. The non-ideal dust fluid is represented by the van der Waals equation of state. Arbitrary amplitude soliton solutions are found to occur for both supersonic and subsonic values of the Mach number. Upper and lower limits of the range of values of α for which solitons exist are examined as a function of the non-ideal parameters associated with the effects of volume reduction and the cohesive forces, for both the supersonic and subsonic cases.

Overtaking Collision and Phase Shifts of Dust Acoustic Multi-Solitons in a Four Component Dusty Plasma with Nonthermal Electrons

2015 ◽  
Vol 70 (9) ◽  
pp. 703-711 ◽  
Author(s):  
Gurudas Mandal ◽  
Kaushik Roy ◽  
Anindita Paul ◽  
Asit Saha ◽  
Prasanta Chatterjee
Keyword(s):  
Dusty Plasma ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Soliton Solutions ◽  
Phase Shifts ◽  
Nonlinear Propagation ◽  
Bilinear Method ◽  
Nonthermal Electrons ◽  
Dust Acoustic ◽  
Overtaking Collision

AbstractThe nonlinear propagation and interaction of dust acoustic multi-solitons in a four component dusty plasma consisting of negatively and positively charged cold dust fluids, non-thermal electrons, and ions were investigated. By employing reductive perturbation technique (RPT), we obtained Korteweged–de Vries (KdV) equation for our system. With the help of Hirota’s bilinear method, we derived two-soliton and three-soliton solutions of the KdV equation. Phase shifts of two solitons and three solitons after collision are discussed. It was observed that the parameters α, β, β1, μe, μi, and σ play a significant role in the formation of two-soliton and three-soliton solutions. The effect of the parameter β1 on the profiles of two soliton and three soliton is shown in detail.

Dust acoustic solitary waves in non-thermal plasmas consisting of negatively charged dust grains and isothermal electrons

2009 ◽  
Vol 75 (4) ◽  
pp. 455-474 ◽  
Author(s):  
ANIMESH DAS ◽  
ANUP BANDYOPADHYAY
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Acoustic Waves ◽  
Kdv Equation ◽  
Thermal Parameter ◽  
Charged Dust ◽  
Average Temperature ◽  
The Kdv Equation ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic

AbstractA Korteweg–de Vries (KdV) equation is derived here, that describes the nonlinear behaviour of long-wavelength weakly nonlinear dust acoustic waves propagating in an arbitrary direction in a plasma consisting of static negatively charged dust grains, non-thermal ions and isothermal electrons. It is found that the rarefactive or compressive nature of the dust acoustic solitary wave solution of the KdV equation does not depend on the dust temperature if σdc < 0 or σdc > σd*, where σdc is a function of β1, α and μ only, and σd*(<1) is the upper limit (upper bound) of σd. This β1 is the non-thermal parameter associated with the non-thermal velocity distribution of ions, α is the ratio of the average temperature of the non-thermal ions to that of the isothermal electrons, μ is the ratio of the unperturbed number density of isothermal electrons to that of the non-thermal ions, Zdσd is the ratio of the average temperature of the dust particles to that of the ions and Zd is the number of electrons residing on the dust grain surface. The KdV equation describes the rarefactive or the compressive dust acoustic solitary waves according to whether σdc < 0 or σdc > σd*. When 0 ≤ σdc ≤ σd*, the KdV equation describes the rarefactive or the compressive dust acoustic solitary waves according to whether σd > σdc or σd < σdc. If σd takes the value σdc with 0 ≤ σdc ≤ σd*, the coefficient of the nonlinear term of the KdV equation vanishes and, for this case, the nonlinear evolution equation of the dust acoustic waves is derived, which is a modified KdV (MKdV) equation. A theoretical investigation of the nature (rarefactive or compressive) of the dust acoustic solitary wave solutions of the evolution equations (KdV and MKdV) is presented with respect to the non-thermal parameter β1. For any given values of α and μ, it is found that the value of σdc completely defines the nature of the dust acoustic solitary waves except for a small portion of the entire range of the non-thermal parameter β1.

Nonlinear propagation of dust-acoustic waves in a magnetized dusty plasma with vortex-like ion distribution

1998 ◽  
Vol 59 (3) ◽  
pp. 575-580 ◽  
Author(s):  
A. A. MAMUN
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Solitary Wave Solution ◽  
Nonlinear Propagation ◽  
Charged Dust ◽  
Ion Distribution ◽  
Free Electrons ◽  
Dust Acoustic Waves ◽  
Magnetized Dusty Plasma ◽  
Dust Acoustic

A theoretical investigation has been made of the nonlinear propagation of dust-acoustic waves in a magnetized three-component dusty plasma consisting of a negatively charged dust fluid, free electrons and vortex-like distributed ions. It is found that, owing to the departure from the Boltzmann ion distribution to a vortex-like one, the dynamics of small- but finite-amplitude dust-acoustic waves in a magnetized dusty plasma is governed by the modified Korteweg–de Vries equation. The latter admits a stationary dust-acoustic solitary-wave solution that has larger amplitude, smaller width and higher propagation velocity than that involving adiabatic ions. The effects of external magnetic field, trapped ions and free electrons on the properties of these dust-acoustic solitary waves are briefly discussed.

scholarly journals Пылевые звуковые солитоны в плазме запыленной экзосферы Луны

2021 ◽  
Vol 47 (9) ◽  
pp. 29
Author(s):  
С.И. Копнин ◽  
С.И. Попель
Keyword(s):  
Solar Wind ◽  
Lunar Surface ◽  
Soliton Solutions ◽  
Dust Particles ◽  
Charged Dust ◽  
The Moon ◽  
Electrons And Ions ◽  
Dust Acoustic

This paper shows a possibility of the existence and propagation of dust acoustic solitons in plasmas of dusty exosphere of the Moon, which contains, in addition to electrons and ions of the solar wind and photoelectrons from the lunar surface, also charged dust particles, as well as photoelectrons emitted from the surfaces of these particles. Soliton solutions are found and the ranges of possible velocities and amplitudes of such solitons are determined depending on the height above the lunar surface for different subsolar angles.

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.

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.

scholarly journals Пылевые звуковые солитоны в запыленной ионосферной плазме, содержащей адиабатически захваченные электроны

2019 ◽  
Vol 45 (20) ◽  
pp. 26
Author(s):  
С.И. Копнин ◽  
С.И. Попель
Keyword(s):  
Soliton Solutions ◽  
Dust Particles ◽  
Charged Dust ◽  
Electrons And Ions ◽  
Dust Acoustic

A possibility of propagation of localized wave structures, such as dust acoustic solitons, in dusty ionospheric plasmas, which contain photoelectrons, electrons and ions, as well as charged dust particles, is considered. The regions of possible velocities and amplitudes of solitons are determined. Soliton solutions are found for various sizes and number densities of dust particles in the dusty ionospheric plasmas.

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