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Symmetries of PDEs Systems in Solar Physics and Contact Geometry

Bila Nicoleta
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Abstract

One considers a special class of PDEs systems and one determines the associated symmetry group. Particulary, for the Blair system, one finds the symmetry group. A solutions of the Blair system gives a conformally flat contact metric structure and also it defines a "force-free" model of solar physics. By using the symmetry groups theory, one shows that the known solutions are group-invariant solutions and one gives new solutions.

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Bila Nicoleta. 1999-10-26. Symmetries of PDEs Systems in Solar Physics and Contact Geometry. https://arxiv.org/abs/math-ph/9910042

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