Controlling nonlinear wave structures in layered metamaterial, gyrotropic and active media

We use in this work, as one of the main methods, the new method of nonlinear evolution equations in layered structures (NEELS) for derivation of the nonlinear equations for amplitudes envelopes of wave packets in layered systems included nonlinear gyrotropic layers and surface. On the basis of this method, the new controllable wave structures in gyrotropic active layers with parametric coupling are investigated and the new “knife-type” of spatio-temporal (2+1) solitons/bullets in this gyrotropic layers are found. Formation and propagation of bullets in model metamaterial waveguide with magnetooptic control are investigated. Two types of nonlinear instabilities of bullets are revealed and the effects of higher-order nonlinearities (nonlinear dispersion and diffraction) on the bullet formation is investigated. A possibility of stabilization of bullets due to magnetooptic control is shown. An effect of “stabilization of amplification” of the bullets in a layered media with the diffraction management id found. Possible applications in optics, signal processing, and space communication are discussed.