Analytical solutions for some nonlinear two-dimensional magnetostatic equilibria

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetostatics, Nonlinear Equations, Plasma Equilibrium, Solar Flares, Boundary Value Problems, Mathematical Models, Solar Atmosphere, Solar Magnetic Field

Scientific paper

By use of the Painleve analysis approach, a set of analytical solutions
of the nonlinear magnetostatic equations is generated from known
solutions. The relevance of these results for solar flares and solar
active phenomena are discussed.

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