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

Abstract

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.

Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons

“…Since the description of solitary waves is usually given in terms of the electrostatic potential, not of the associated electric field, pseudopotentials with three local extrema were encountered earlier [9][10][11][12] but not recognized as differing from ordinary solitons.…”

Time-dependent non-planar DIA shock waves in non-extensive dusty plasma

“…Shukla and Silin (1992) were the first to report theoretically the existence of dust-ionacoustic (DIA) waves. Nonlinear waves associated with DIA waves, particularly the DIA solitary waves (SWs) (Moslem et al 2005;Alinejad 2010;Alinejad 2011a, b;El-Taibany et al 2011;Rahman and Mamun 2011;Das et al 2012;El-Labany et al 2012a;Yasmin et al 2012b) and dust ion-acoustic shock waves (DIASHWs) (Luo et al 1999;Nakamura et al 1999;Popel et al 2000;Nakamura and Sharma 2001;Mamun and Shukla 2002;Shukla and Mamun 2003;Eliasson and Shukla 2005; Alinejad 2010; Mamun and Tasnim 2010;El-Labany et al 2012b), have received a baronial interest in space and laboratory dusty plasmas. The theoretical prediction of Shukla and Silin (1992) has been conclusively verified by a number of laboratory experiments (Barkan et al 1996;Nakamura et al 1999;Merlino and Goree 2004).…”

Electrostatic nonlinear supersolitons in dusty plasmas

“…Supersolitons have typical characteristics, some of which, remarkably, were already present in earlier papers (White et al 1972;Verheest 2009;Baluku et al 2010;Verheest 2011;Das et al 2012), but were not recognized as being special. Although White et al (1972) clearly indicated that an additional soliton range can exist, separated from the standard range by a discontinuous jump in amplitude, there seems to have been no further exploration of this, mainly because the electric field signatures were not investigated, and their wiggles are not seen.…”