Reduction to autonomous form by group analysis and exact solutions of axisymmetric MHD equations
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Publication:1324731
DOI10.1016/0895-7177(93)90216-LzbMath0805.35094OpenAlexW1993022122MaRDI QIDQ1324731
Francesco Olivieri, Andrea Donato
Publication date: 12 February 1995
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0895-7177(93)90216-l
PDEs in connection with fluid mechanics (35Q35) Nonlinear first-order PDEs (35F20) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)
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Cites Work
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- On the evolution of weak discontinuities in a state characterized by invariant solutions
- Characteristic wave fronts in magnetohydrodynamics
- Analytical solutions of the problem of violent explosions in a plasma of varying density
- Group analysis approach in magnetohydrodynamics: Weak discontinuity propagation in a non-constant state
- Similarity analysis and nonlinear wave propagation
- When nonautonomous equations are equivalent to autonomopus ones
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
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