Two classes of an axisymmetric toroidal plasma equilibria

In this paper, the Maschke-Perrin equation describing the rotating axisymmetric toroidal plasma equilibria is considered with the temperature assumed to be a surface quantity. Then, adopting a quadratic profile for both @?^2 and G"T, two cases are presented. The first deals with a plasma within a toroidal boundary with a rectangular cross-section. In this case a class of semi-analytic solutions is obtained. The second case is that of a rotating compact tori with toroidal current density vanishing at the boundary. For this problem an approximate solution is obtained.