Dust acoustic solitary waves in the presence of hot and cold dust

Nonlinear dust acoustic rogue waves in a two temperature charged dusty grains plasma

“…Hence, numerical studies have been made using plasma parameters close to those values correspond to Saturn F-rings. The equilibrium electron and dust densities are n e0 = 10 cm −3 , N h0 = 10 cm −3 and dust charge and mass are given as Z h = 10 2 -10 3 , m h = m c = 10 12 m i , respectively (Akhtar et al 2007;El Wakil et al 2013;Farid et al 2001). The variation of the envelope group velocity V g and the frequency ω with parameters like the charge numbers for charged hot dust Z h and the carrier wave number are shown in Fig.…”

“…El-Labany et al (2013) studied the stability of three-dimensional dust acoustic waves in a dusty plasma with two opposite polarity dust species including dust size distribution. The properties of nonlinear DAWs in an unmagnetized dusty plasma having electrons, singly charged ions, hot and cold dust grains have been investigated by many authors (Akhtar et al 2007;El-Shewy et al 2011a. On the other hand, Cairns et al (1995) used the nonthermality of electrons to examine the propagation of nonlinear ion acoustic solitary waves observed by the FREJA satellite.…”

Solitary solution and energy for the Kadomstev–Petviashvili equation in two temperatures charged dusty grains

“…Hence, numerical studies have been made using plasma parameters close to those values corresponding to Saturn F-ring's i.e., the equilibrium electron and dust densities are n e0 = 10 cm −3 , N h0 = Fig. 5 The variation of the energy of cold and hot charged dusty grains E C , E H with respect to Z h for different values of N h0 for n e0 = 10, n i0 = 10010, m h = m c = 10 12 m i , T i = T e = 1 eV, Z c = 10, N c0 = 8, L = 0.9, and υ 0 = 0.4 10 cm −3 and dust charge and mass are taken as Z h = 10 2 -10 3 , m h = m c = 10 12 m i , respectively, as given in (Akhtar et al 2007;Shukla et al 1997;Mahmood et al 2001;Farid et al 2001). Generally speaking, the present system supports only rarefactive solitons.…”

“…Recently, some papers have been devoted before to study a theoretical models for the existence of both two types of dust fluids in a homogeneous (inhomogeneous) plasma, see for example (El-Wakil et al 2006;Mowafy et al 2008;Abdelwahed et al 2008;Mamun and Shukla 2002;Sayed and Mamun 2007;Mamun 2008;El-Shewy et al 2008). Akhtar et al (2007), derived the Sagdeevs pseudopotential for dust acoustic waves (DAWs) in an unmagnetized two types of dust fluids (one cold and the other is hot) in the presence of Boltzmannian ions and electrons, and studied the existence of rarefactive solitons.…”

The Effect of Higher-Order Corrections on the Propagation of Nonlinear Dust-Acoustic Solitary Waves in a Dusty Plasma with Nonthermal Ions Distribution

“…After that, linear and nonlinear properties of DA waves were studied in a multi-component dusty plasma model with inertialess electrons and ions as well as positively and negatively charged initial dust grains by Sakanaka and Spassovska [14]. Recently, Akhtar et al [15] examined the propagation of DA solitary waves in a multicomponents dusty plasma. In their work, two types of dust fluids (one is cold and the other is hot) have been considered in the presence of Boltzmannian ions and electrons.…”