Triplets of coupled spatial solitons in a thin left-handed film on a right-handed Kerr substrate

The propagation of coupled light beams formed by fast TE modes of a planar waveguide based on a thin left-handed film on a Kerr substrate at a frequency near the frequency of zero group velocity is considered. Conditions for the propagation of three coupled spatial solitons formed by modes with positive and negative group velocities have been determined. The possibility of matched propagation of two bright (dark) solitons and one dark (bright) solitons has been demonstrated.