  The distinctive features of passing the two-component extremely short pulses
through the nonlinear media are discussed. The equations considered describe
the propagation in the two-level anisotropic medium of the electromagnetic
pulses consisting of ordinary and extraordinary components and an evolution of
the transverse-longitudinal acoustic pulses in a crystal containing the
paramagnetic impurities with effective spin S=1/2. The solutions decreasing
exponentially and algebraically are studied.
