Dust acoustic shock waves in arbitrarily charged dusty plasma with low and high temperature non-thermal ions

Abstract

Using the well-known reductive perturbation technique, the three-dimensional (3D) Burgers equation and modified 3D Burgers equation have been derived for a plasma system comprising of non-thermal ions, Maxwellian electrons, and negatively charged fluctuating dust particles. The salient features of nonlinear propagation of shock waves in such plasmas have been investigated in detail. The different temperature non-thermal ions and Maxwellian electrons are found to play an important role in the shock waves solution. The analytical solution of the 3D Burgers equation and modified 3D Burgers equation ratifying the propagation of dust acoustic shock waves are derived using the well-known tanh method. On increasing the population of non-thermal ions, an enhancement in the amplitude of shock waves is seen for negatively charged dust particles. A striking dependence of amplitude and width of shock waves on the ratio of ion temperatures and densities are also reported. Finally we introduced a new stretching coordinate and perturbation for the nth-order nonlinear 3D Burgers equation and its solution by the use of the tanh method. We found that, due to higher nonlinearity, the amplitude of shock waves decreases while width remains constant for all plasma parameters considered in the present investigation. The features accounted here could be relevant in the case of different space and astrophysical plasmas and laboratory dusty plasma for negatively charged dust fluctuation.

Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

“…Such a reduction is lower than that comes from the trapped positive ion species. [6,7,26]. In both the cases, it is seen that as the system moves from a dip shaped distribution to Boltzmann distribution i.e.…”

Characteristics of dust acoustic waves in dissipative dusty plasma in the presence of trapped electrons

“…Physically, more and more depression in the particles' distribution will eventually result in a reduction in the amplitude of the wave as the plasma system advances in the direction of equilibrium as β approaches 0 and further towards a positive value (to be shown in the later part of this paper). Here and throughout the paper, the basic plasma parameters considered in the numerical analysis are adopted from [4][5][6] as well as [8][9][10] along with [37]. In figure 2, the spatial propagation of the soliton pulse at different time scales t is presented.…”

Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

“…1990; Barkan et al. 1995) leads to a number investigations (Eliasson & Shukla 2004; Heinrich, Kim & Merlino 2009; Mamun & Cairns 2009; Shukla & Eliasson 2012; Dev, Sharma & Deka 2015 a ) on DA shock waves not only from theoretical points of view (Eliasson & Shukla 2004; Mamun & Cairns 2009; Shukla & Eliasson 2012; Dev et al. 2015 a ), but also from the view of laboratory experiments (Heinrich et al.…”

“…The theoretical works (Eliasson & Shukla 2004; Mamun & Cairns 2009; Shukla & Eliasson 2012; Dev et al. 2015 a ) are based on a three-component dusty plasma system containing charged dust species of single polarity, and electron and ion species following the Maxwellian distribution function.…”