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Symmetries of PDEs Systems in Solar Physics and Contact Geometry

Mathematical Physics 2007-05-23 v1 Differential Geometry math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/9910042,
  title  = {Symmetries of PDEs Systems in Solar Physics and Contact Geometry},
  author = {Bila Nicoleta},
  journal= {arXiv preprint arXiv:math-ph/9910042},
  year   = {2007}
}

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16 pages