Reduction and Exact Solutions of the Ideal Magnetohydrodynamic Equations

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dc.creatorPicard, Philippe
dc.date2005-09-21
dc.date2006-11-26
dc.date.accessioned2026-07-07T06:42:20Z
dc.date.available2026-07-07T06:42:20Z
dc.descriptionIn this paper we use the symmetry reduction method to obtain invariant solutions of the ideal magnetohydrodynamic equations in (3+1) dimensions. These equations are invariant under a Galilean-similitude Lie algebra for which the classification by conjugacy classes of r-dimensional subalgebras ($1\leq r\leq 4$) was already known. So we restrict our study to the three-dimensional Galilean-similitude subalgebras that give systems composed of ordinary differential equations. We present here several examples of these solutions. Some of these exact solutions show interesting physical interpretations.
dc.descriptionWork-in-progress of some exact solutions of the ideal MHD solutions. We use an analytical method to obtain several particular solutions of this quasilinear and hyperbolic system of PDEs
dc.identifierhttps://arxiv.org/abs/math-ph/0509048
dc.identifierhttp://arxiv.org/abs/math-ph/0509048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102004
dc.subjectMathematical Physics
dc.subject76W05, 76M60, 35C05, 35N10
dc.titleReduction and Exact Solutions of the Ideal Magnetohydrodynamic Equations
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