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We construct two distinct classes of exact type III solutions of the D=4Einstein-Yang-Mills system. The solutions are embeddings of the non-abelianplane waves in spacetimes in Kundt's class. Reduction of the solutions to typeN leads to generalized $pp$ and Kundt waves. The geodesic equations are brieflydiscussed.Comment: revtex, 4 pages, minor changes, some factors and references  corrected, footnote adde

Type III Einstein-Yang-Mills solutions