Dust acoustic wave in a dusty plasmas with streaming ions and nonadiabatic dust charge variation

The nonadiabatic dust charge variation on dust acoustic solitary and shock waves in strongly coupled dusty plasmas

“…The KdV-Burger equation (33) has oscillatory or monotonic shock wave solution. To analyze the steady shock solution analytically, we use the co-moving coordinate χ = ξ − V τ with V being the velocity of shock waves and integrate once with respect to variable χ .…”

“…From the explicit expression of dust viscosity coefficient F and the dispersion coefficient E, one can see that for sufficiently weak dust viscosity the monotonic type shock will appear, while for strong dust viscosity our system can excite the oscillatory shock waves. We also numerically investigate the travelling wave solution of the mKdV-Burger equation (33). Since we consider numerical solution in a co-moving coordinate χ = ξ − V τ , the third-order ordinary differential equation (34) will be solved numerically.…”

“…ν d /ω pd = 0, the DA solitary waves can be described by a damping Korteweg-de Vries (KdV) equation [23]. For nonlinear DIA waves, the non-adiabatic dust charge fluctuation is also important as ν d /ω pi ≈ 10 −6 in the ionosphere [31], which leads to the collisionless damping of DIA wave in dusty plasma [32,33]. The modulational instability of DA [34] or DIA [35] waves were investigated by considering the ultraviolet irradiation and transverse perturbation, which shows that the amplitude of envelope DA or DIA solitary waves decreases exponentially with time due to the collisionless dissipation caused by nonadiabatic dust charge variation.…”

Interaction of ion beam with dust grains produces dust-acoustic solitary waves in Herbig-Haro objects

“…The interaction of the polar jets with the interstellar medium would lead to create Herbig-Haro objects (Bally et al 1996). Extensive work have been done to investigate the behavior of the dust grains in the multicomponent plasmas with or without ion beam (see e.g., Nejoh 1999;Ivlev and Morfill 2001;El-Labany and Moslem 2002;ElLabany and El-Taibany 2003;Wang et al 2009;Das et al 2010;El-Labany et al 2011a, 2011bMoslem et al 2011;Abdelsalam et al 2011;El-Tantawy and Moslem 2012).…”

The effect of negative ions on the dust acoustic wave in dusty electronegative plasma with positively charged dust grains

“…Ghosh [32] considered the DA shock wave in a dusty plasma consisting of positively charged dust grains due to thermionic emission, which admitted both compressional oscillatory and monotonic shock wave and was strongly affected by thermionic emission. The presence of streaming ions directly affects DA waves in collisionless dusty plasma, which shows that the damping rate of the slow mode DA solitary wave was dependent on the ion streaming velocity [33]. The modulational instability of DA waves in a dusty plasma consisting of positively charged dust grain can be described by a modified Davey-Stewartson equation, where Wang et al considered that the ratio of the dust hydrodynamic time to dust charging time was small but finite [34].…”