Symmetries, weak symmetries, and related solutions of the Grad–Shafranov equation
Symmetries, weak symmetries, and related solutions of the Grad–Shafranov equation
We discuss a new family of solutions of the Grad–Shafranov (GS) equation that describes D-shaped toroidal plasma equilibria with sharp gradients at the plasma edge. These solutions have been derived by exploiting the continuous Lie symmetry properties of the GS equation and in particular a special type of “weak” symmetries. …