In our paper we investigated pure radiation spacetimes of algebraic types O and N with a possible cosmological constant. In particular, we presented explicit transformations which put these metrics, that were recently re-derived by Edgar, Vickers and Machado Ramos using the GIF method, into a general Ozsváth-Robinson-Rózga form.
By putting all such Kundt metrics into the unified coordinate system we confirmed that their rigorous derivation is correct and enables a physical interpretation to be performed.