A Korteweg–de Vries Burgers-like equation for weakly nonlinear dust ion-acoustic waves in a charge-varying dusty plasma with nonthermal electrons

Berbri, Abderrezak; Tribeche, Mouloud

doi:10.1063/1.3133184

Cited by 8 publications

(4 citation statements)

References 33 publications

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“…It is clear that an increase of the electron non-thermality in the present dusty plasma with negative (positive) dust concentration leads to an decrease of the potential depth. In the case of negatively charged dust concentration, the result have been reported in the recent papers dealing with the effects of electron non-thermality on the generation of small but finite amplitude solitary waves (Tribeche and Berbri 2008;Berbri and Tribeche 2009;Alinejad 2010b). Figure 3 also shows contrast between two types of negative (positive) dusty plasmas in which electrons follow the Boltzmann (β = 0) and non-thermal (β = 0) distributions.…”

Section: Resultsmentioning

confidence: 63%

Solitary waves in a dusty plasma with negatively (positively) charged dust grains and non-thermal electrons

Alinejad

2010

Astrophys Space Sci

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For an unmagnetized multicomponent dusty plasma, the effects of non-thermal electron distribution, ion temperature and two oppositely charged dust grains are incorporated in the study of arbitrary amplitude solitary waves. An energy-like integral equation involving Sagdeev potential is derived, and the existence, formation and basic properties of solitons are studied. It is also found a definite interval for the Mach number for which solitary waves exist and depends sensitively upon the population of fast or non-thermal electrons present. Our results should be useful to understand the properties of localized electrostatic disturbances that may occur in space dusty plasma.

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Section: Resultsmentioning

confidence: 63%

Solitary waves in a dusty plasma with negatively (positively) charged dust grains and non-thermal electrons

Alinejad

2010

Astrophys Space Sci

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“…Then the properties of the DIA waves or dust acoustic ͑DA͒ waves with dust charge fluctuation have also been investigated by many researchers. 12,14,18,20,[25][26][27][28][29][30][31] Most of the above investigations of the dust charge variation were focused on the adiabatic fluctuation. Since the dust charging frequency sometimes was comparable to the frequency of dusty plasmas, the dust charge variation was considered as nonadiabatic one.…”

Section: The Effects Of Nonadiabatic Dust Charge Variation and Ultravmentioning

confidence: 99%

The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

et al. 2010

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The effects of nonadiabatic dust charge fluctuation on the nonlinear propagation of the dust ion acoustic (DIA) waves in the dusty plasma with positively charged dust grains have been investigated. By using the reductive perturbation technique, a three-dimensional modified nonlinear Schrödinger equation (mNLSE) governing the nonlinear envelope DIA waves was derived and the approximate solitary wave solution of the mNLSE was also obtained in the weak effect of nonadiabatic dust charge fluctuation limit, which shows that the amplitude of the DIA solitary wave exponentially decreases with time due to the collisionless dissipation caused by the nonadiabatic dust charge variation. The frequency, instability growth rate, and the critical modulational wave number of the small amplitude modulation are all dependent on photoelectron generated by ultraviolet irradiation and time due to the presence of nonadiabatic dust charge variation. The transverse perturbation plays an important role in the modulational instability region.

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“…As a result there appears to be a stronger space charge electric field which is responsible for the enhanced phase velocity of the DIA waves. The nonlinear wave associated with DIA waves have received a great deal of interest in understanding the basic properties of localized electrostatic perturbations in space and laboratory dusty plasma Tribeche and Boumezoued 2008;Berbri and Tribeche 2009;Duha and Mamun 2009;Alinejad 2010). Most of these studies are limited to constant dust grain charge.…”

Section: Introductionmentioning

confidence: 99%

Effects of dust charge fluctuations and deviations from isothermality of electrons on nonlinear dust ion-acoustic waves

Alinejad

2010

Astrophys Space Sci

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The effects of dust charge fluctuations and deviations from isothermality of electrons are incorporated in the study of nonlinear dust ion-acoustic waves. Deviations from isothermality of electrons are included in this model as a result of nonlinear resonant interaction of the electrostatic wave potential with electrons during its evolution. The basic properties of stationary structures are studied by employing the reductive perturbation method, and conditions for the formation of small but finite amplitude dust ionacoustic solitary waves in the space dusty plasma situations are clearly explained. It is shown that a more depletion of the background free electrons owing to the attachment of these electrons to the surface of the dust grains during the charging process can lead to the formation of solitary waves with smaller amplitude. Furthermore, effects of the dust charge fluctuation and deviations from isothermality of electrons show a non-uniform behavior for the amplitude of solitary waves in transition from the Boltzmann electron distribution to a trapped electron one. It is also found that the dust charge fluctuation caused by trapped as well as free electrons is a source of dissipation, and is responsible for the formation of the dust ion-acoustic shock waves.

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A Korteweg–de Vries Burgers-like equation for weakly nonlinear dust ion-acoustic waves in a charge-varying dusty plasma with nonthermal electrons

Cited by 8 publications

References 33 publications

Solitary waves in a dusty plasma with negatively (positively) charged dust grains and non-thermal electrons

Solitary waves in a dusty plasma with negatively (positively) charged dust grains and non-thermal electrons

The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

Effects of dust charge fluctuations and deviations from isothermality of electrons on nonlinear dust ion-acoustic waves

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