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Title
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Painleve analysis and nonlinear periodic solutions for isothermal magnetostatic atmospheres
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Author
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Abstract
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| The equations of magnetohydrodynamic equilibria for a plasma in a gravitational field are investigated analytically. For equilibria with one ignorable spatial coordinate, the equations reduce to a single nonlinear elliptic equation for the magnetic potential psi, known as the Grad-Shafranov equation. Specifying the arbitrary functions in the latter equation, one gets a nonlinear elliptic equation. Analytical solutions of the elliptic equation are obtained for the case of a nonlinear isothermal atmosphere in a uniform gravitational field. The solutions are obtained by using the Painleve analysis, and are adequate for describing parallel filaments of diffuse, magnetized plasma suspended horizontally in equilibrium in a uniform gravitational field. |
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Language
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English
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Source (journal)
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Solar physics. - Dordrecht
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Publication
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Dordrecht
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1998
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ISSN
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0038-0938
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DOI
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10.1023/A:1005046607282
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Volume/pages
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178
:2
(1998)
, p. 285-315
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ISI
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000072818800008
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Full text (Publisher's DOI)
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