nonlocal symmetry, Backlund transformation, self-dual Yang-Mills system, evolutionary isovectors
The observation is made that generalized evolutionary isovectors of the self-dual Yang–Mills equation, obtained by "verticalization'' of the geometrical isovectors derived in a previous paper [J. Math. Phys. 28, 1261 (1987)], generate Bäcklund transformations for the self-dual system. In particular, new Bäcklund transformations are obtained by "verticalizing'' the generators of point transformations on the solution manifold. A geometric ansatz for the derivation of such (generally nonlocal) symmetries is proposed.
Original Publication Citation
Papachristou, C. J. and Kent B. Harrison."Nonlocal symmetries and B[a-umlaut]cklund transformations for the self-dual Yang-Mills system." Journal of Mathematical Physics 29 (1988): 238-243.
BYU ScholarsArchive Citation
Papachristou, C. J. and Harrison, Kent B., "Nonlocal symmetries and Backlund transformations for the self-dual Yang-Mills system" (1988). All Faculty Publications. 739.
Physical and Mathematical Sciences
Physics and Astronomy
© 1988 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/29/238/1
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