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Nonlinear tranlational symmetric equilibria with up to quartic flux terms inthe free functions, reversed magnetic shear and sheared flow are constructed intwo ways: i) quasianalytically by an ansatz which reduces the pertinentgeneralized Grad-Shafranov equation to a set of ordinary differential equationsand algebraic constraints which is then solved numerically, and ii) completelynumerically by prescribing analytically a boundary having an X-point. Theequilibrium characteristics are then examined by means of the pressure, safetyfactor, current density and electric field. For flows parallel to the magneticfield the stability of the equilibria constructed is also examined by applyinga sufficient condition. It turns out that the equilibrium nonlinearity has astabilizing impact which is slightly enhanced by the sheared flow. In addition,the results indicate that the stability is affected by the up-down asymmetry.

Two dimensional nonlinear cylindrical equilibria with reversed magnetic shear and sheared flow