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In Ref. [Parra-Rivas at al., 2013], using the Swift-Hohenberg equation, weintroduced a mechanism that allows to generate oscillatory and excitablesoliton dynamics. This mechanism was based on a competition between a pinningforce at inhomogeneities and a pulling force due to drift. Here, we study theeffect of such inhomogeneities and drift on temporal solitons and Kerrfrequency combs in fiber cavities and microresonators, described by theLugiato-Lefever equation with periodic boundary conditions. We demonstrate thatfor low values of the frequency detuning the competition betweeninhomogeneities and drift leads to similar dynamics at the defect location,confirming the generality of the mechanism. The intrinsic periodic nature ofring cavities and microresonators introduces, however, some interestingdifferences in the final global states. For higher values of the detuning weobserve that the dynamics is no longer described by the same mechanism and itis considerably more complex.

Effects of inhomogeneities and drift on the dynamics of temporal solitons in fiber cavities and microresonators