Аннотация:Formation of the limiting states of the laser pulses (both classical squeezing over time, i.e., compression, and quantum squeezing, i.e., suppression of fluctuations below the quantum limit) for a dynamic diffraction (scattering) in a spatially periodic medium are studied for the first time. The physics of the phenomena under consideration is determined by competition and energy exchange between interacting light beams and envelopes under the Bragg- resonance condition.