Semidiscrete solitons in arrayed waveguide structures with Kerr nonlinearity

We construct families of optical semidiscrete composite solitons (SDCSs), with one or two independent propagation constants, supported by a planar slab waveguide, cross-phase-modulation coupled to a periodic array of stripes. Both structures feature the cubic nonlinearity and support intrinsic modes with mutually orthogonal polarizations. We report three species of SDCSs, odd, even, and twisted ones, the first type being stable. Transverse motion of phase-tilted solitons, with potential applications to beam steering, is considered also.