Title
Painleve analysis and nonlinear periodic solutions for isothermal magnetostatic atmospheres Painleve analysis and nonlinear periodic solutions for isothermal magnetostatic atmospheres
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Dordrecht ,
Subject
Physics
Source (journal)
Solar physics. - Dordrecht
Volume/pages
178(1998) :2 , p. 285-315
ISSN
0038-0938
ISI
000072818800008
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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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