# $ast$-SDYM Fields and Heavenly Spaces. I. $ast$-SDYM equations as an integrable system

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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 m). Two hierarchies of conservation laws for this equation are constructed. Then the twistor transform and a solution to the Riemann-Hilbert problem are given.

Author: Sebastian Formanski; Maciej Przanowski

Source: https://archive.org/