Higher-order solitary structures of nonextensive electrons having two distinct temperatures in a dusty plasma

Abstract

The Gardner equation, showing the existence of compressive and rarefactive dust-acoustic (DA) solitons in a nonextensive dusty plasma (containing negatively charged dust, Maxwellian ions and two-temperature electrons following a q-nonextensive distribution) beyond the K-dV (Korteweg-de Vries) limit, is derived and numerically solved. The basic features of the DA Gardner solitons (GSs) associated with positive and negative potentials are found to exist beyond the K-dV limit, and the K-dV and modified K-dV (mK-dV) solitons have been compared with the DAGSs by considering the effects of two-temperature electron's nonextensivity. Depending on the nonextensive parameter q, the DAGSs have been found to exhibit negative (positive) potential solitons for q < qc (q > qc) (where qc is the critical value of q). The results obtained from this analysis can be utilized and should be very effective for understanding the localized nonlinear structures, the DAGSs, in different astrophysical and cosmological scenarios (viz. stellar polytropes, quark-gluon plasma, protoneutron stars, etc.).

Electrostatic Shock Structures in Nonextensive Plasma with Two Distinct Temperature Electrons

“…The concept of two-temperature electrons (electrons with two distinct temperatures) is now well established from the theoretical [34][35][36][37][38] and experimental [39,40] points of view. Thus, at equilibrium the quasineutrality condition implies, n i0 = n e10 + n e20 + Z d n d0 , where n s0 is the unperturbed number densities of the species s (here s = i, e1, e2, d for ion, electrons with temperature T e1 , electrons with temperature T e2 , and immobile dust, respectively) and Z d is the number of electrons residing onto the dust grain surface.…”

“…In our present manusript, we have considered the same plasma system considered by Emamuddin et al [24,36] but we have studied the shock structures in this plasma system. Our aim here is to investigate the shock wave properties and also to analyze their basic features (polarity, amplitude, width, etc.)…”

“…Recently, Alam et al [35] considered kappa distributed electrons with two distinct temperatures and discussed the properties of DIASHWs. Very recently, Emamuddin et al [24,36] have studied the DA solitary structures in both magnetized and unmagnetized dusty plasma system with two-temperature nonextensive electrons and Maxwellian ions.…”

K-dV solitons in a magnetized dusty plasma with two distinct temperature nonextensive electrons and Maxwellian ions

“…(2)-(4)). Consequently, the nonextensive parameter q can take the values far below or far above unity (Tribeche and Merriche 2011;Emamuddin et al 2013aEmamuddin et al , 2014b. In order to draw Figs.…”