Abstract
A nonlinear solitary wave in an inhomogeneous medium formed by two tunnel-coupled waveguides is considered. One of the waveguides is manufactured from an ordinary dielectric, while the second has negative refraction. The results from numerical simulations demonstrate the high stability of gap solitons with respect to collisions. It is discovered that for low relative velocities of two colliding solitons, a longlived coupled state of these solitons can be formed.
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