Publication
Title
Nonlinear periodic solutions for isothermal magnetostatic atmospheres
Author
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.
Language
English
Source (journal)
Physics of plasmas. - Woodbury, N.Y.
Publication
Woodbury, N.Y. : 2008
ISSN
1070-664X
Volume/pages
15:12(2008), p. 122903,1-122903,12
ISI
000262228500040
Full text (Publishers DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 29.04.2009
Last edited 31.03.2017
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