Dust-ion-acoustic solitary waves and their multi-dimensional instability in a magnetized nonthermal dusty electronegative plasma

Dust-Acoustic Solitary Waves in a Magnetized Dusty Plasma With Ions Of Distinct Temperatures

“…To study small but finite amplitude electrostatic DASWs in the dusty plasma system, under consideration, one usually constructs a weakly nonlinear theory [44], and uses a scaling of the independent variables through the stretched coordinates [32,43,44] …”

“…In this investigation, we have considered the propagation of highly nonlinear dust-acoustic solitary waves (DASWs) in a magnetized dusty plasma consisting of negatively charged dust fluid, Boltzmann distributed electrons, and nonthermal ions of distinct temperatures. We have derived the Zakharov-Kuznetsov (ZK) equation [32,43]for the considered dusty plasma model, and analyzed the properties of DASWs both analytically and numerically. The manuscript is organized in the following manner.…”

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

“…This leads us to use the reductive perturbation technique (Washimi and Taniuti 1966) and construct a nonlinear theory for small but finite amplitude dust-acoustic solitary waves. So, we can exploit a scaling of the independent variables through the usage of the stretched coordinates used by Washimi, Mamun and many others (Washimi and Taniuti 1966;Mamun 1998b,a;Kundu et al 2012) as:…”

“…It is notable that x, y and z are all normalized by the Debye radius (λ Dm ), and τ is normalized by the inverse of dust plasma period (ω −1 pd ). Now, the perturbed quantities n d , u dx , u dy , u dz , and φ can be expanded along with their equilibrium values as (Washimi and Taniuti 1966;Kundu et al 2012;Shukla and Yu 1978;Lee and Kan 1981;Shukla et al 1991)…”

Dust ion-acoustic shock waves in magnetized pair-ion plasma with kappa distributed electrons

“…Two of these modes, which are frequently studied are, high frequency dust-ion-acoustic waves (DIAWs) having mobile ions and static dust particulates and other is low frequency dust acoustic waves (DAWs) having mobile dust grains. These two modes were studied theoretically and experimentally by many researchers [1,4,5].…”