Weakly nonlinear dust ion-acoustic shock waves in a dusty plasma with nonthermal electrons

Berbri, Abderrezak; Tribeche, Mouloud

doi:10.1063/1.3124137

Cited by 7 publications

(2 citation statements)

References 17 publications

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“…Such a study of dusty plasma consisting of Cairns non-thermal distributed ions has been made by several authors (Mamun et al 1996b;Mendoza-Briceño et al 2000;Maharaj et al 2004Maharaj et al , 2006Verheest and Pillay 2008;Das et al 2009Das et al , 2010. Berbri and Tribeche (2009) have investigated weakly nonlinear DIA shock waves in a dusty plasma with non-thermal electrons. Recently, Baluku et al (2010a) have investigated DIASWs in an unmagnetized dusty plasma consisting of cold dust particles and kappa distributed electrons using both small and arbitrary amplitude techniques.…”

Section: Introductionmentioning

confidence: 99%

Dust ion-acoustic solitary structures in non-thermal dusty plasma

Das¹,

Bandyopadhyay²,

Das

2011

J. Plasma Phys.

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Dust ion-acoustic solitary structures have been investigated in an unmagnetized non-thermal plasma consisting of negatively charged dust grains, adiabatic positive ions, and non-thermal electrons. Whenever the non-thermal parameter exceeds a critical value, the present system supports negative potential double layer solution. However, this double layer solution is unable to restrict the occurrence of negative potential solitary waves of the present system. As a result, the occurrence of one type of negative potential solitary wave is restricted by Mc < M < MD, whereas the second type of solitary wave exists for all M > MD, where Mc is the lower bound of the Mach number M and MD (> Mc) is the Mach number corresponding to a negative potential double layer. A finite jump between the amplitudes of negative potential solitary waves at M = MD − ϵ1 and M = MD + ϵ2 has been observed, where 0 < ϵ1 < MD − Mc and ϵ2 > 0. Depending on the analytical theory presented in this paper, a numerical scheme has been provided to find the value of the Mach number at which double layer solution exists, and also the amplitude of that double layer. Although the occurrence of coexistence of solitary structures of both polarities is restricted by Mc < M ≤ Mmax, only negative potential solitary wave still exists for all M > Mmax, where Mmax is the upper bound of M for the existence of positive potential solitary waves only. Qualitatively different compositional parameter spaces showing the nature of existing solitary structures of the energy integral have been found. These solution spaces are capable of producing new results and physical ideas for the formation of solitary structures whenever one can move the solution spaces through the family of curves parallel to the curve M = Mc.

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Section: Introductionmentioning

confidence: 99%

Dust ion-acoustic solitary structures in non-thermal dusty plasma

Das¹,

Bandyopadhyay²,

Das

2011

J. Plasma Phys.

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show abstract

“…Such a study of dusty plasma consisting of Cairns non-thermal distributed ions has been made by several authors 6,[31][32][33][34][35][36] . Berbri and Tribeche 37 have investigated weakly nonlinear DIA shock waves in a dusty plasma with non-thermal electrons. Baluku et al 21 have investigated DIASWs in an unmagnetized dusty plasma consisting of cold dust particles and kappa distributed electrons using both small and arbitrary amplitude techniques.…”

Section: Introductionmentioning

confidence: 99%