Symmetries of PDEs Systems in Solar Physics and Contact Geometry

Details Symmetries of PDEs Systems in Solar Physics and Contact Geometry Symmetries of PDEs Systems in Solar Physics and Contact Geometry

1999-10-26

arxiv.org/abs/math-ph/9910042v1

Physics

Mathematical Physics

16 pages

Scientific paper

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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