Restricted Lie point symmetries and reductions for ideal magnetohydrodynamics equilibria

DOI10.1007/s10665-009-9326-7zbMath1188.76275OpenAlexW1977699120MaRDI QIDQ976790

Oleg I. Bogoyavlenskij

Publication date: 16 June 2010

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-009-9326-7

zbMATH Keywords

Poisson bracketsMinkowski metricGrad-Shafranov equationaxially symmetric MHD equilibria

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (1)

Similarity: Generalizations, applications and open problems

Cites Work

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• Counterexamples to Parker’s theorem
• THE EQUILIBRIUM OF MAGNETIC STARS
• The Stellarator Concept
• Equilibrium of a Magnetically Confined Plasma in a Toroid
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation

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