Negative energy dust acoustic waves evolution in a dense magnetized quantum Thomas–Fermi plasma

Abstract

Propagation of nonlinear waves in the magnetized quantum Thomas–Fermi dense plasma is analyzed. The Zakharov–Kuznetsov–Burgers equation is derived by using the theory of reductive perturbation. The exact solution contains both solitary and shock terms. Also, it is shown that rarefactive waves propagate in most cases. Both the associated electric field and the wave energy have been derived. The effects of dust and electrons temperature, dust density, magnetic field magnitude, and direction besides the effect of the kinematic viscosity on the amplitude, width, and energy of the formed waves are discussed. It is shown that the negative energy wave is formed and its value is enhanced due to the increase of the kinematic viscosity and the ambient magnetic field which lead to an increase in the instability. The present results are helpful in controlling the stabilization of confined Thomas–Fermi dense magnetoplasma that are found in white dwarfs and in the high-intensity laser-solid matter interaction experiments.

Damped quantum drift Zakharov-Kuznetsov equation for a dissipative inhomogeneous partially degenerate plasma with quantizing magnetic field

“…We note here that in the generalized solution given by equation (41), the effects of quantization and partial degeneracy are present in the coefficients g 1 and g . 2 It can clearly be seen that equation (31) differs from that of [36] where a damped KdV equation was considered. Here we have obtained DQDZK equation that includes the second spatial direction along y-axis which modifies the solution as compared to the case of [36].…”

“…Thus, the KdV-Burgers equation is obtained that admits shock structures [29]. Other works on dense plasmas derived the Zakharov-Kuznetsov-Burgers (ZKB) equation by taking into account the effect of kinematic viscosity [30,31]. In contrast with Burgers equation [32], in a collisional plasma, the damped solitary structures have also been analyzed by Moslem et al [33].…”