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Application of the sine-Poisson equation in solar magnetostaticsSolutions 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.
Document ID
19900059947
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Webb, G. M.
(Arizona, University Tucson, United States)
Zank, G. P.
(Max-Planck-Institut fuer Aeronomie Katlenburg-Lindau, Federal Republic of Germany, United States)
Date Acquired
August 14, 2013
Publication Date
June 1, 1990
Publication Information
Publication: Solar Physics
Volume: 127
ISSN: 0038-0938
Subject Category
Solar Physics
Accession Number
90A47002
Funding Number(s)
CONTRACT_GRANT: NSF ATM-83-17701
CONTRACT_GRANT: NSG-7101
Distribution Limits
Public
Copyright
Other

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