We provide an overview of recent experimental and theoretical developments in the area of
optical discrete solitons. By nature, discrete solitons represent self-trapped wavepackets in …

We review both theoretical and experimental advances in the recently emerged field of
modulated photonic lattices. These artificial periodic dielectric structures provide a powerful …

We present a progress overview focused on the recent theoretical and experimental
advances in the area of soliton manipulation in optical lattices. Optical lattices offer the …

We report on the observation of surface gap solitons found to exist at the interface between
uniform and periodic dielectric media with defocusing nonlinearity. We demonstrate strong …

We analyze the process of photon-pair generation with simultaneous quantum walks in a
quadratic nonlinear waveguide array. We demonstrate that the spontaneous parametric …

We address the issue of mobility of localized modes in two-dimensional nonlinear
Schrödinger lattices with saturable nonlinearity. This describes, eg, discrete spatial solitons …

We observe the formation of discrete diffraction-managed optical solitons in arrays of
periodically curved coupled waveguides for two types of modulated structures: laser-written …

We consider a particular type of parametrically driven discrete Klein-Gordon system
describing microdevices and nanodevices, with integrated electrical and mechanical …

Asymptotic stability of small bound states in one dimension is proved in the framework of a
discrete nonlinear Schrödinger equation with septic and higher power-law nonlinearities …

We review the recent developments in the field of photonic lattices emphasizing their unique
properties for controlling linear and nonlinear propagation of light. We draw some important …