The Grad–Shafranov Equation in Cap-Cyclide Coordinates: The Heun Function Solution

The Grad–Shafranov Equation in Cap-Cyclide Coordinates: The Heun Function Solution

The Grad–Shafranov plasma equilibrium equation was originally solved analytically in toroidal geometry, which fitted the geometric shape of the first Tokamaks. The poloidal surface of the Tokamak has evolved over the years from a circular to a D-shaped ellipse. The natural geometry that describes su...

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Bibliographic Details
Main Authors:	Flavio Crisanti, Clemente Cesarano, Artur Ishkhanyan
Format:	Article
Language:	English
Published:	MDPI AG 2023-04-01
Series:	Mathematics
Subjects:	Grad–Shafranov equation Heun equation analytic solution cap-cyclide geometry standard toroidal geometry hypergeometric functions
Online Access:	https://www.mdpi.com/2227-7390/11/9/2087

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