A model is developed for the time dependent electromagnetic-radio to g
amma-ray-emission of active galactic nuclei, specifically, the blazars
, based on the acceleration and creation of leptons at a propagating d
iscontinuity or front of a self-collimated Poynting flux jet. The fron
t corresponds to a discrete relativistic jet component as observed wit
h very long baseline interferometry (VLBI). Equations are derived for
the number, momentum, and energy of particles in the front taking into
account synchrotron, synchrotron-self-Compton (SSC), and inverse-Comp
ton processes as well as photon-photon pair production. The apparent s
ynchrotron, SSC, and inverse Compton luminosities as functions of time
are determined. Predictions of the model are compared with observatio
ns in the gamma, optical, and radio bands. The delay between the high-
energy gamma-ray hare and the onset of the radio is explained by self-
absorption and/or free-free absorption by external plasma. Two types o
f gamma-ray flares are predicted: Compton dominated or SSC dominated,
depending on the initial parameters in the front. The theory is applie
d to the recently observed gamma-ray flare of the blazar PKS 1622-297
(Matter et al. 1997). Approximate agreement of theoretical and observe
d light curves is obtained for a viewing angle theta(obs) similar to 0
.1 rad, a black hole mass M similar to 3 x 10(9) M., and a magnetic he
ld at the base of the jet B-0 similar to 10(3) G.