Lomonosov Moscow State University , Russia

We present the study of interplay between pulsed beams in nonlinear media. Particular attention is paid to the effect of total reflection of signal from the reference. Cascade three-wave interactions at a large phase mismatch create the cross-modulation of signal refractive index. We give the results of numerical simulation of three- -wave equations and analyze the formation of the trajectories of the pulsed beams centers in the space-time domain. The results of the collisions depend on initial conditions: pulse time delay, angle of beam intersection, the effect of synchronization in space and time, the ratio of their lengths, widths and amplitudes.