Three‐dimensional closed field line magnetohydrodynamic equilibria without symmetries

Exact three‐dimensional volume current solutions of the magnetohydrodynamic (MHD) equations are presented. The configurations are infinitely extended along a straight axis and have neither cylindrical nor helical nor mirror symmetry. All field lines lie in planes orthogonal to the axis and are closed around it. The surfaces of constant pressure have elliptical cross sections, whose ellipticity and orientation are arbitrary functions along the axis.