  Coherent nonlinear multi-pulse processes, nonlinear waves and echo effects in
resonant media are the topical problems of modern optics and important tools of
coherent spectroscopy and quantum information science. We generalize the
McCall-Hahn area theorem to the formation of an arbitrary photon echo generated
during the multi-pulse excitation of the optically dense resonant media. The
derived theorem made it possible to reveal the nonlinear mechanism of
generation and evolution of the photon echo signals inside the media after a
two-pulse excitation. We find that a series of self-reviving echo signals with
total area of $2\pi$ or $0\pi$ is excited and propagates in the media depth,
with each pulse having an individual area less than $\pi$. The resulting echo
pulse train is a new alternative to the well-known soliton or breather. The
developed pulse-area approach paves the way for more precise coherent
spectroscopy, studies of different photon echo signals and quantum control of
light pulses in the optically dense media.
