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math-ph2005
-SDYM fields and heavenly spaces: II. Reductions of the -SDYM system
Sebastian Formanski, Maciej Przanowski
Reductions of self-dual Yang-Mills (SDYM) system for -bracket Lie algebra to the Husain-Park (HP) heavenly equation and to $sl(N,{\boldmath{$C$})$ SDYM equation are given. An…
math-ph2004
-SDYM Fields and Heavenly Spaces. I. -SDYM equations as an integrable system
Sebastian Formanski, Maciej Przanowski
It is shown that the self-dual Yang-Mills (SDYM) equations for the -bracket Lie algebra on a heavenly space can be reduced to one equation (the \it master equation\rm). Two h…