Other
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990soph..127..229w&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 127, June 1990, p. 229-252.
Other
6
Current Sheets, Gravitational Fields, Magnetostatics, Poisson Equation, Sine Series, Solar Atmosphere, Gas Pressure, Isothermal Processes, Magnetic Field Configurations, Magnetic Flux, Magnetostatic Fields
Scientific paper
Solutions of the sine-Poisson equations are used to construct a class of isothermal magnetostatic atmospheres, with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry. The distributed current in the model (j) is directed along the x-axis, where x is the horizontal ignorable coordinate; (j) varies as the sine of the magnetostatic potential and falls off exponentially with distance vertical to the base with an e-folding distance equal to the gravitational scale height. Solutions for the magnetostatic potential A corresponding to the one-soliton, two-soliton, and breather solutions of the sine-Gordon equation are studied. Depending on the values of the free parameters in the soliton solutions, horizontally periodic magnetostatic structures are obtained possessing either a single X-type neutral point, multiple neural X-points, or solutions without X-points.
Webb Gary M.
Zank Gary P.
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