Bound states of KK monopole and momentum

We construct metrics for multiple Kaluza-Klein monopole-branes carrying travelling waves along one of the isometry directions (not KK monopole fibre) in ten dimensional type IIB supergravity and relate them via string dualities to two charge Mathur-Lunin metrics. We find that adding momentum to $N_K$ coincident monopoles leads them to separate in the transverse direction into $N_{K}$ single monopoles. Hence the bound state metrics are perfectly smooth, without $Z_{N_{K}}$ singularities, and correspond to a system with non-zero extension in the transverse directions. We compare this solution with other solutions with KK monopole.