Infinite symmetries of the ideal MHD equilibrium equations

DOI10.1016/S0375-9601(01)00650-8zbMath1011.76096MaRDI QIDQ5950405

Oleg I. Bogoyavlenskij

Publication date: 11 December 2001

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

astrophysical jetscurrent sheetsdivergence-free plasma flowsgeometrical symmetry breakingideal magnetohydrodynamics equilibrium equationsinfinite-dimensional abelian Lie groupsintrinsic symmetries break

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (8)

Novel integrable reductions in nonlinear continuum mechanics via geometric constraints ⋮ Conservation properties and potential systems of vorticity-type equations ⋮ Symbolic computation of local symmetries of nonlinear and linear partial and ordinary differential equations ⋮ GeM software package for computation of symmetries and conservation laws of differential equations ⋮ Analytical 3-dimensional anisotropic plasma equilibria ⋮ An extended procedure for finding exact solutions of partial differential equations arising from potential symmetries. Applications to gas dynamics ⋮ Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems ⋮ Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions

Cites Work

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• Method for Solving the Korteweg-deVries Equation
• Reducible Problems in Magneto-Fluid Dynamic Steady Flows
• ON FORCE-FREE MAGNETIC FIELDS

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