The interplay of nonlinearity with lattice discreteness leads to phenomena and propagation
properties quite distinct from those appearing in continuous nonlinear systems. For a large …

We investigate the self-trap** phenomenon in one-dimensional nonlinear waveguide
arrays. We discuss various approximate analytical descriptions of the discrete self-trapped …

We study a fractional version of the two-dimensional discrete nonlinear Schrödinger (DNLS)
equation, where the usual discrete Laplacian is replaced by its fractional form that depends …

We introduce a technique to obtain localization of Bose-Einstein condensates in optical
lattices via boundary dissipations. Stationary and traveling localized states are generated by …

The Discrete Nonlinear Schrödinger (DNLS) equation describes a particularly simple model
for a lattice of coupled anharmonic oscillators. In one spatial dimension, the equation in its …

We investigate polaron properties in the semiclassical Holstein model in one, two, and three
dimensions, using two methods: a simple and efficient numerical scheme and a variational …

Non-Hermitian two-site dimers serve as minimal models in which to explore the interplay of
gain and loss in dynamical systems. In this paper, we experimentally and theoretically …

We perform numerical investigations of the dynamical localization properties of the discrete
nonlinear Schrödinger equation with periodic and deterministic aperiodic on-site potentials …

An array of coupled nonlinear waveguides supports discrete soliton modes in which light is
self-trapped in a few guides. We obtain an analytical description of these solitons and reveal …

We perform statistical analysis on discrete nonlinear waves generated through modulational
instability in the context of the Salerno model that interpolates between the intregable …