Synchronization of interacting temporal cavity oscillons

Temporal cavity solitons (TCS) localized dissipative structures of light propagating along the longitudinal axis of coherently driven optical cavities are very promising for applications in telecommunication technology. In a recent work formation and interactions of TCS in a standard silica fiber cavity were studied experimentally. Here we present a theoretical investigation of the interaction of the TCS within the framework of the Lugiato-Lefever (LL) model. Major attention is given to the interaction of oscillating solitons above a self pulsing instability threshold and to the effect of external periodic modulations on the soliton interactions.