Keywords
isogroup, self-dual Yang-Mills system, isovector formalism, J formulation, hidden symmetry, Backlund transformation
Abstract
A generalized isovector formalism is used to derive the isovectors and isogroup of the self-dual Yang-Mills (SDYM) equation in the so-called J formulation. In particular, the infinitesimal "hidden symmetry'' transformation, a linear system, and a well-known Backlund transformation of the SDYM equation are derived in the process. Thus symmetry and integrability aspects of the SDYM system appear in natural relationship to each other within the framework of the isovector approach.
Original Publication Citation
Papachristou, C. J. and Kent B. Harrison."Some aspects of the isogroup of the self-dual Yang-Mills system." Journal of Mathematical Physics 28 (1987): 1261-1264.
BYU ScholarsArchive Citation
Papachristou, C. J. and Harrison, B. Kent, "Some aspects of the isogroup of the self-dual Yang-Mills system" (1987). Faculty Publications. 747.
https://scholarsarchive.byu.edu/facpub/747
Document Type
Peer-Reviewed Article
Publication Date
1987-06-01
Permanent URL
http://hdl.lib.byu.edu/1877/1366
Publisher
AIP
Language
English
College
Physical and Mathematical Sciences
Department
Physics and Astronomy
Copyright Status
© 1987 American Institue of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics and may be found at http://link.aip.org/link/?JMAPAQ/28/1261/1
Copyright Use Information
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