Abstract
Extending previous work [R. L. White and R. D. Hazeltine, Phys. Plasmas 16, 123101 (2009)] to the case of a generalized Grad-Shafranov equation (GGSE) with incompressible flow of arbitrary direction, we obtain new classes of exact solutions on the basis of Lie-point symmetries. This is done by using a previously found exact generalized Solovév solution to the GGSE. The new solutions containing five free parameters describe D-shaped toroidal configurations with plasma flow non-parallel to the magnetic field. In addition, the full symmetry group is obtained and new group-invariant solutions to the GGSE are presented.
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