Propagation and energy of the dressed solitons in the Thomas–Fermi magnetoplasma

Abstract

A theoretical investigation is presented for dust-acoustic (DA) waves in a collisionless Thomas–Fermi magnetoplasma. The plasma system consists of electrons, ions, and negatively charged dust grains, all existing in a quantizing magnetic field. The Korteweg–de Vries (KdV) and KdV type equations are derived by using the reductive perturbation method. The solutions of these evolved equations are obtained. The contribution of higher-order corrections to the DA is investigated. The electric field and the soliton energy were also derived. The K-dV and dressed soliton energies are depleted as the dust temperature and magnetic field increase. But they magnify as obliqueness increases. The present results are beneficial in understanding the waves propagating in Thomas–Fermi magnetoplasma that are applicable for high-intensity laser–solid matter interaction experiments and astrophysical compact objects such as white dwarfs.