  Magnetic domain walls are objects whose dynamics is inseparably connected to
their structure. In this work we investigate magnetic bilayers, which are
engineered such that a coupled pair of domain walls, one in each layer, is
stabilized by a cooperation of Dzyaloshinskii-Moriya interaction and
flux-closing mechanism. The dipolar field mediating the interaction between the
two domain walls, links not only their position but also their structure. We
show that this link has a direct impact on their magnetic field induced
dynamics. We demonstrate that in such a system the coupling leads to an
increased domain wall velocity with respect to single domain walls. Since the
domain wall dynamics is observed in a precessional regime, the dynamics
involves the synchronization between the two walls, to preserve the flux
closure during motion. Properties of these coupled oscillating walls can be
tuned by an additional in-plane magnetic field enabling a rich variety of
states, from perfect synchronization to complete detuning.
