Modulational instability of dust acoustic waves in dusty plasmas with ultraviolet irradiation and nonadiabatic dust charge variation

Abstract

The combined effects of nonadiabatic dust charge fluctuation, ultraviolet irradiation, and transverse perturbation on the modulational instability of nonlinear dust acoustic (DA) waves in dusty plasma consisting of Boltzmann-distributed electrons, ions, as well as positively charged dust grain were presented here. By using the reductive perturbation technique, a three-dimensional modified Davey–Stewartson equation governing the nonlinear waves is derived. It is shown that the modulation properties of the DA waves were strongly affected by the nonadiabatic dust charge variation and photoelectrons and there was a maximum time for the modulational instability.

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

“…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. By introducing d /dχ = ψ , Eq.…”

“…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.…”

The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

“…The modulational instability of the DA waves in the dusty plasma consisting of the positively charged dust grain due to the photoelectron emission by ultraviolet irradiation was also studied by a modified Davey-Stewartson equation, which showed that there was a permitted maximum time for the modulational instability and the critical wave number has a minimum value at a critical DA waves frequency. 39 Since the nonadiabatic dust charge variation process in the dusty plasma is very important from both the theoretical and experimental points of view, in this paper, we will investigate the effect of the dust charge fluctuation on the nonlinear propagation of DIA waves in a plasma containing Boltzmann-distributed electrons, and positively charged dust grains due to the photoelectron emission by the ultraviolet irradiation. 40,41 Using the reductive perturbation method, we derived a three-dimensional mNLSE for the envelope DIA waves in the dusty plasma and investigate the combined effects of the nonadiabatic dust charge fluctuation, ultraviolet irradiation, and transverse perturbation on the modulational instability by the small amplitude modulation.…”

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

“…On the other hand, when the ratio of the grain charging frequency ν d to dust plasma frequency ω pd is small but finite, i.e. ν d /ω pd = 0, the modulational instability of the DA waves [26] and the collisionless damping rate were strongly affected by the dust charge fluctuation [27,28].…”