Article,

An exact solution of the Grad--Shafranov--Helmhotz equation with central current density reversal

, and .
Physics of Plasmas, 12 (6): 062501 (May 2005)
DOI: 10.1063/1.1924554

Abstract

With the eigenvalue problem solved in the cylindrical coordinate system with a rectangular cross section, an exact analytical solution of the Grad–Shafranov–Helmhotz equation proposed by S. Wang Phys. Rev. Lett. 93, 155007 (2004) is found. The exact solution can describe a variety of equilibrium configurations including the current reversal equilibrium configurations, and it is valid for arbitrary aspect ratio.

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