Dust ion-acoustic solitary and shock waves due to dust charge fluctuation with vortexlike electrons

Duha, S. S.; Anowar, M. G. M.; Mamun, A. A.

doi:10.1063/1.3497273

Cited by 19 publications

(9 citation statements)

References 34 publications

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“…It follows that flat-trapped electrons introduce some kind of inertia on the propagation of the localized ion-acoustic waves, as shown in Schamel (1972). This effect has also been observed in the study of small amplitude DIA solitary waves with vortex-like electron distribution (Duha et al 2010). Moreover, for both cases of isothermal and flattrapped electrons, the potential well evolves with higher amplitude in the presence of positive dust concentration in comparison to the population of negative dust grains.…”

Section: Arbitray Amplitude Dia-swsmentioning

confidence: 77%

“…It is well known that such electron distribution modifies the conditions for the existence of nonlinear waves associated with the DIA waves, particularly the DIA solitary and shock waves which are not observed in dusty plasma with isothermal electrons (Schamel 1972(Schamel , 1979Popel et al 2003;Duha et al 2010;Alinejad and Tribeche 2010). In this case, Duha et al (2010) studied small amplitude DIA solitary and shock waves due to dust charge fluctuation with trapped electrons by reductive perturbation method. They showed that the effects of vortex-like/trapped electron distribution modify the properties of the DIA solitary and shock waves.…”

Section: Introductionmentioning

confidence: 95%

“…On the other hand, computer simulations and laboratory observations indicate the presence of trapped electrons during the low frequency electrostatic wave evolution (Sakanaka 1972;Saeki et al 1979). It is well known that such electron distribution modifies the conditions for the existence of nonlinear waves associated with the DIA waves, particularly the DIA solitary and shock waves which are not observed in dusty plasma with isothermal electrons (Schamel 1972(Schamel , 1979Popel et al 2003;Duha et al 2010;Alinejad and Tribeche 2010). In this case, Duha et al (2010) studied small amplitude DIA solitary and shock waves due to dust charge fluctuation with trapped electrons by reductive perturbation method.…”

Section: Introductionmentioning

confidence: 96%

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Dust ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and flat-trapped electrons

Alinejad

2011

Astrophys Space Sci

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The properties of arbitrary amplitude dust ionacoustic (DIA) solitary waves (SWs) in a dusty plasma containing warm adiabatic ions, electrons following flattopped velocity distribution, and arbitrarily (positively or negatively) charged immobile dust is studied by the pseudopotential approach. The effects of ion temperature, resonant electrons, and dust number density are found to significantly modify the basic features of the DIA-SWs as well modify the parametric regime for the existence of compressive DIA-SWs. The pseudo-potential for small but finite amplitude limit is also analytically analyzed.

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Section: Arbitray Amplitude Dia-swsmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 96%

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Dust ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and flat-trapped electrons

Alinejad

2011

Astrophys Space Sci

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“…El-Wakil et al [11] theoretically investigated higher order contributions to nonlinear DA waves that propagate in a mesospheric dusty plasma with a complete depletion of the background (electrons and ions). Duha et al [7] studied small amplitude DIA solitary and shock waves due to dust charge fluctuation with trapped electrons by reductive perturbation method. They showed that the effects of vortex-like/trapped electron distribution modify the properties of the DIA solitary and shock waves.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear analysis of dust acoustic waves in dissipative space dusty plasmas with trapped ions

et al. 2015

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The propagation of linear and nonlinear dust acoustic waves in a homogeneous unmagnetized, collisionless and dissipative dusty plasma consisted of extremely massive, micron-sized, negative dust grains has been investigated. The Boltzmann distribution is suggested for electrons whereas vortex-like distribution for ions. In the linear analysis, the dispersion relation is obtained, and the dependence of damping rate of the waves on the carrier wave number k, the dust kinematic viscosity coefficient g d and the ratio of the ions to the electrons temperatures r i is discussed. In the nonlinear analysis, the modified Korteweg-de Vries-Burgers (mKdV-Burgers) equation is derived via the reductive perturbation method. Bifurcation analysis is discussed for non-dissipative system in the absence of Burgers term. In the case of dissipative system, the tangent hyperbolic method is used to solve mKdV-Burgers equation, and yield the shock wave solution. The obtained results may be helpful in better understanding of waves propagation in the astrophysical plasmas as well as in inertial confinement fusion laboratory plasmas.

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“…Ion acoustic shock waves were studied by Masood et al [7] in an unmagnetized quantum plasma consisting of electrons, positrons, and ions employing the quantum hydrodynamic model where the nonlinear quantum waves are investigated by deriving the Korteweg dust acoustic (DA) solitons was studied in [8] using the Korteweg-de Vries equation, which showed significant discrepancies in the regime of large amplitudes or high soliton speed where the DA solitons were observed experimentally in a dusty plasma [9]. Duha et al [10] made the dust ion-acoustic solitary and shock waves in an unmagnetized dusty plasma containing vortex like electrons, mobile ions, and charge fluctuating static dust. The dust charge fluctuation has an effect on the formation of different types of solitons in unmagnetized dusty plasma [11].…”

Section: Introductionmentioning

confidence: 99%

DEA Waves With Cold and Hot Electrons

Ashraf

Mamun

2015

IEEE Trans. Plasma Sci.

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The theoretical and numerical studies have been made to observe the planar and nonplanar geometries for the nonlinear propagation of the dust-electron-acoustic (DEA) in a dusty plasma (containing initially cold and hot Maxwellian electrons, stationary ions, and charge fluctuating stationary dust grains) using reductive perturbation method. It has also been found that the basic features of the DEA waves are significantly modified by the presence of dust charge fluctuation. The numerical solution to the K-dV equation indicates that the parameters those we have considered in our model blatantly influence the propagation speed and the structure of DEA solitary waves. The geometrical effects on the structure of DEA wave are discussed. It is shown that the amplitude and propagation speed in spherical geometry is larger compared with cylindrical and planar geometries for different values of the above-mentioned parameters. The implications of our results would be useful to understand some astrophysical and cosmological scenarios like stellar polytropes, hadronic matter and quark-gluon plasma, protoneutron stars, and dark-matter halos.Index Terms-Charge fluctuating stationary dust grains, cold and hot Maxwellian electrons, dust-electron-acoustic (DEA) waves, K-dV equations with solution (solitary waves), nonlinear wave propagation, planar and nonplanar geometries, reductive perturbation mode, stationary ions.

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Dust ion-acoustic solitary and shock waves due to dust charge fluctuation with vortexlike electrons

Cited by 19 publications

References 34 publications

Dust ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and flat-trapped electrons

Dust ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and flat-trapped electrons

Linear and nonlinear analysis of dust acoustic waves in dissipative space dusty plasmas with trapped ions

DEA Waves With Cold and Hot Electrons

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