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In this paper we find a new representation for self-duality equa- tions. In addition exact solution class of the classical SU(2) Yang-Mills field equations in four-dimensional Euclidean space and two exact solution classes for SU(2) Yang- Mills equations when is ρ a complex analytic function are also obtained.

EXACT SOLUTION OF THE CLASSICAL SU(2) YANG-MILLS FIELD EQUATIONS