$\ast$-SDYM fields and heavenly spaces: II. Reductions of the $\ast$-SDYM system

Sebastian Formanski, Maciej Przanowski

Reductions of self-dual Yang-Mills (SDYM) system for $\ast$-bracket Lie algebra to the Husain-Park (HP) heavenly equation and to $sl(N,{\boldmath{$C$})$ SDYM equation are given. An…