$\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an   integrable system
  It is shown that the self-dual Yang-Mills (SDYM) equations for the $\ast$-bracket Lie algebra on a heavenly space can be reduced to one equation (the \it master equation\rm). Two hierarchies of conservation laws for this equation are constructed. Then the twistor transform and a solution to the Riemann-Hilbert problem are given. 
Sebastian Formanski and Maciej Przanowski