isogroup, self-dual Yang-Mills system, isovector formalism, J formulation, hidden symmetry, Backlund transformation
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). All Faculty Publications. 747.
Physical and Mathematical Sciences
Physics and Astronomy
© 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
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