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

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 …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

During the past 30 years there have been important and far reaching developments in the
study of nonlinear waves including" soliton equations", a class of nonlinear wave equations …

Bloch oscillations in complex lattices with PT symmetry are theoretically investigated with
specific reference to optical Bloch oscillations in photonic lattices with gain or loss regions …

We experimentally demonstrate the occurrence of optical Bloch oscillations in a waveguide
array with linearly growing effective index of the individual guides. We monitored the output …

We report the observation of optical Bloch oscillations in waveguide arrays. The required
linear variation of the propagation constant across the thermo-optic polymer array was …

We show that optical Bloch oscillations can emerge in waveguide arrays with linearly
varying propagation constants. The existence of localized modes (Wannier–Stark states) …

One-dimensional topological pumping of matter waves in two overlaid optical lattices
moving with respect to each other is considered in the presence of attractive nonlinearity. It …

The dynamics of localized excitations in an array of Bose-Einstein condensates (BECs) is
investigated in the framework of the nonlinear lattice theory. The existence of temporarily …