Title
Nonlinear periodic solutions for isothermal magnetostatic atmospheres Nonlinear periodic solutions for isothermal magnetostatic atmospheres
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Woodbury, N.Y. ,
Subject
Physics
Source (journal)
Physics of plasmas. - Woodbury, N.Y.
Volume/pages
15(2008) :12 , p. 122903,1-122903,12
ISSN
1070-664X
ISI
000262228500040
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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 A, known as the GradShafranov equation. Specifying the arbitrary functions in the latter equation, one obtains three types of nonlinear elliptic equations (a Liouville equation, a sinh Poisson equation, and a generalization of those with a sum of exponentials). Analytical solutions are obtained using the tanh method; this is elaborated in the Appendix. The solutions are adequate to describe an isothermal atmosphere in a uniform gravitational field showing parallel filaments of diffuse, magnetized plasma suspended horizontally in equilibrium.
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