Abstract
We study a new family of solutions of the discrete nonlinear Schrödinger equation (DNLSE), whose initial conditions are close to the resonances of a suitable area preserving map. We show that some of these DNLSE solutions are stable and live on the surface of a multidimensional torus. We study the DNLSE in the context of coupled Kerr waveguides with periodic boundary conditions. The intensity correlations of certain waveguide pairs are enhanced as the refractive index of a suitable waveguide is slightly modified.
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