Symmetry analysis of the Grad-Shafranov equation

Journal Article · Tue Dec 15 04:00:00 EST 2009 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3267211· OSTI ID:21371253

White, R L; Hazeltine, R D ^[1]

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1. Institute for Fusion Studies, University of Texas at Austin, Austin, Texas 78712-0262 (United States)

Lie's technique of computing symmetries of differential equations is applied to a specific case of the Grad-Shafranov equation. The case considered contains the majority of exact solutions from literature. The full symmetry group is computed and new group-invariant solutions are obtained from these symmetries. The basic results and methods behind this technique are given to allow the reader who is unfamiliar with the subject to use the results given in this paper. Several plots of the level sets or flux surfaces of the new solutions are given.

• OSTI ID: 21371253
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 16; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DIFFERENTIAL EQUATIONS
EQUATIONS
EXACT SOLUTIONS
GRAD-SHAFRANOV EQUATION
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC SURFACES
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
SYMMETRY
SYMMETRY GROUPS