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Blazars exhibit flares with a doubling time scale on the order of minutes.Such rapid flares are theoretically challenging and several {models} have beenput forward to explain the fast variability. In this paper we continue thediscussion concerning the effects of non-linear, time-dependent synchrotronself-Compton (SSC) cooling. In previous papers we were able to show that thenon-linearity{, introduced by a time-dependent electron injection,} has severeconsequences for both the spectral energy distribution (SED) and themonochromatic synchrotron light curve. The non-linear cooling introduces novelbreaks in the SED, which are usually explained by complicated underlyingelectron distributions, while the much faster cooling of the SSC process{causes significant differences in the synchrotron light curves}. In this paperwe calculate the inverse Compton light curves, taking into account both the SSCand the external Compton process. The light curves are calculated from themonochromatic intensities by introducing the retardation due to the finite sizeof the emission region and the geometry of the source. Even though some of theobvious effects of the SSC cooling are washed out by the retardation, there arestill several observational constraints which could help to discriminatebetween the non-linear and the usual linear models, such as different fluxstates, temporal shapes or faster variability of the light curves at differentenergies.

Inverse Compton light curves of blazars under non-linear, time-dependent synchrotron-self Compton cooling