The magnetopause is the critical boundary where the shocked solar wind from the Sun meets the Earth’s magnetic field. Once the upstream solar wind conditions alter, the magnetopause moves to (and oscillates about) a new position and changes its shape accordingly. Previous studies usually calculated the magnetopause moving speed from spatial and temporal differences of two crossings close in location and time observed by two spacecraft. However, based on observations, a magnetopause boundary layer with a thickness of hundreds of km is often observed. We propose a new way of estimating magnetopause speed by applying the ion speed in the boundary layer. This study aims to check whether our idea is correct by using numerous magnetopause crossings recorded by the THEMIS mission, and the magnetopause speed calculated by the traditional method is compared with the mean velocity inside the boundary layer.
In this article, we consider a dense stellar plasma consisting of predominantly electrons, positrons, and ions under the action of the magnetic field of the star. We derived the Korteweg–de Vries Burgers (KdV-Burgers) equations by using the reductive perturbation technique and obtained shock and solitary profiles for magnetoacoustics waves. We further studied the self-interaction of such stationary formations and the amplitude-modulated envelope solitons. The possibility of a rogue wave-like structure is also discussed. The results will be helpful to interpret magnetoacoustics wave formations in solar corona or other stellar entities and can help in the study of inhomogeneous plasmas in laboratory and fusion reactors.
In this paper, we consider the propagation of electron acoustic solitary waves in semi-classical plasma. Using the quantum hydrodynamic model we obtain the dispersion relation and study the parametric variations of the dispersion curve. We further study the solitary profiles and their evolution by using the Korteweg-de Vries Burger equation. We extended our work to the study of Rogue waves. The results provide interesting findings that have laboratory and astrophysical importance.