The Solov'ev ansatz is employed to solve the equilibrium equation for plasmas rotating in the toroidal direction. The plasma shape can be controlled by fixing the values of the aspect ratio, elongation, triangularity, and curvature at the equatorial points. In addition, it is possible to set the values of the plasma current, total β, and Mach number. Analytic expressions for the shape coefficients and examples of equilibria with positive and negative triangularity are presented.

中文翻译：

---

具有正三角形和负三角形的旋转等离子体的扩展 Solov'ev 型平衡

Solov'ev ansatz 用于求解沿环形方向旋转的等离子体的平衡方程。可以通过固定赤道点处的纵横比、伸长率、三角形度和曲率的值来控制等离子体形状。此外，可以设置等离子体电流、总β和马赫数的值。给出了形状系数的解析表达式和正负三角形平衡的例子。