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Two-dimensional magnetohydrodynamic equilibria
Authors:A. H. Khater  M. A. El-Attary  M. F. El-Sabbagh  D. K. Callebaut
Affiliation:(1) Department of Mathematics, Faculty of Science, Cairo University, Beni-Suef, Egypt;(2) Department of Mathematics, Faculty of Science, Minia University, Minia, Egypt;(3) Department of Physics, University of Antwerpen, Antwerpen, Belgium;(4) Present address: Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Abstract:For the two-dimensional MHD equilibria, the system of ideal MHD equations is reduced to a single nonlinear equation of the magnetic potential as a lsquoSh—Gordon equationrsquo. A set of analytical solutions is presented which are adequate for describing parallel filaments of a diffused magnetized plasma suspended horizontally in equilibrium in a uniform gravitational field.
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