Disordered lattice solitons.
We study the properties of a nonlinear Schrödinger equation in the presence of a disordered potential modeling a waveguide array. We find that, for both signs of the nonlinearity, there is a large number of soliton families each one possessing different quantitative properties. However, all these families can be categorized to only a few classes with the same qualitative properties. Highly confined solitons exist in each waveguide of the lattice. In addition, solitons families originate from each Anderson mode. Resonant interactions between a soliton and an Anderson mode can take place, leading to broadening of the soliton profile.
Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete, Greece.
Nikolaos K
NK
Efremidis
Kyriakos
K
Hizanidis