Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method

Abstract EN

The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically.

An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry is carried out.

These equations transform to a single nonlinear elliptic equation for the magnetic vector potential u.

This equation depends on an arbitrary function of u that must be specified.

With choices of the different arbitrary functions, we obtain analytical solutions of elliptic equation using the Fan subequation method.