Characteristics of nonlinear dust acoustic waves in a Lorentzian dusty plasma with effect of adiabatic and nonadiabatic grain charge fluctuation

Study of the Characteristics of Dust Acoustic Solitary Waves and Dust Acoustic Shock Waves in Electron Free Dusty Space Plasma

“…Our analysis shows that in the permissible range of normalized grain charge number, for adiabatic dust charge variation compressive dust acoustic soliton propagates whose amplitude decreases and width increases with increasing number of suprathermal positive ions whereas for nonadiabatic dust charge variation monotonic dust acoustic shock wave propagates whose montonicity is lower for higher suprathermal positive ion population. In Reference [18] we studied nonlinear dust acoustic wave propagation in a Lorentzian dusty plasma with suprathermal electrons and ions and negatively charged dust grains where for adiabatic dust charge variation we obtained rarefied dust acoustic soliton with decreasing amplitude and increasing width with increasing suprathermal electron population. For nonadiabatic dust charge variation in that case we showed that dust acoustic shock wave was monotonic up to a certain range of grain charge number then it was oscillatory.…”

Stable Oscillation and Chaotic Motion of the Dust-Acoustic Waves for the KdV–Burgers Equation in a Four-Component Dusty Plasma

“…Employing the transformation of the traveling wave, the KdV-Burgers has been deduced into a PDS (25). Using the theory of phase plane analysis, stable spiral profiles for the corresponding system (25) have been presented by varying nonextensive parameter q and strength of nonadiabaticity parameter ν in both the ranges 1/3 < q < 1 and q > 1. It has been shown that the oscillation of DAWs decays rapidly in the superextensive region and slowly in the subextensive range of q.…”

“…In Fig. 3(a)-(c), we show the phase portrait profiles of the PDS (25) for different values of ν as: 1) ν = 0.01; 2) ν = 0.05; and 3) ν = 0.1, and their respective time-series plots are displayed in Fig. 3(d)-(f) with q = 0.8, considering other parametric values same as Fig.…”

“…To investigate dynamical motions, namely, quasiperiodic and chaotic behaviors of the system (25), we introduce an extraneous force f 0 cos(ωη) in the system (25). Then, one can generate the perturbed dynamical system as…”

“…The behavior of DAWs under the influence of charge-gradient force was reported by Khrapak and Khrapak [24]. However, the propagation of DAWs of adiabatic and nonadiabatic dust grain fluctuations in a Lorentzian dusty plasma was examined by Denra et al [25]. Recently, considering both the cases, adiabatic and nonadiabatic dust grain fluctuations with suprathermal electrons, and Maxwellian positive and negative ions, DAWs were studied by Denra et al [26].…”