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
Antwerp ,
Subject
Mathematics
Source (journal)
Journal of computational and applied mathematics. - Antwerp
Volume/pages
242(2013) , p. 28-40
ISSN
0377-0427
ISI
000313390800003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The equations of magnetohydrostatic 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 known as the Grad-Shafranov equation. Specifying the arbitrary function in the latter equation, yields a nonlinear elliptic equation. Analytical nonlinear periodic solutions of this elliptic equation are obtained for the case of an isothermal atmosphere in a uniform gravitational field: e.g. a model for the solar atmosphere. We obtained several classes of exact solutions of five nonlinear evolution equations (Liouville, sinh-Poisson, double sinh-Poisson, sine-Poisson and double sine-Poisson) using the generalized tanh method. Moreover, the Backlund transformations are used to generate further new classes of solutions. The final results may be used to investigate some models in solar physics. (C) 2012 Published by Elsevier B.V.
E-info
https://repository.uantwerpen.be/docman/iruaauth/8aa10a/aba4819.pdf
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