Generalized symmetries for the ideal MHD equations

DOI10.1016/0167-2789(93)90148-TzbMath0767.35063OpenAlexW2020779415MaRDI QIDQ1803789

F. Galas

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90148-t

zbMATH Keywords

exact solutionssimilarity solutionslocal scaling symmetries

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Conservation properties and potential systems of vorticity-type equations ⋮ 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 ⋮ Stable and unstable supersonic stagnation of an axisymmetric rotating magnetized plasma

Cites Work

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• Exact similarity solutions of ideal MHD equations for plane motions
• Symmetry groups and similarity solutions of MHD equations
• New classes of symmetries for partial differential equations
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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