ABSTRACT
Backward waves exist in electric transmission lines, in a reaction-diffusion medium and in acoustics. Propagation of the electromagnetic pulses in magnetic metamaterial has been investigated using the model, where the metamaterial was represented by the array of split-ring resonators. The nonlinear interaction of these forward-and backward-propagating waves was investigated numerically. Self-trapped waves, counterpropagating radiation waves, and hot spots of medium excitation were found. The forward-wave-backward-wave interaction can be realized in a nonlinear oppositely directional coupler. The usual gap soliton arises from a balance between nonlinearity and grating assisted dispersion in optical fibers. Numerical simulation of the steady state pulse formation and the collisions between the soliton-like waves demonstrated that the pulses are very robust against perturbations.
