Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and
diverse branches of physics such as optics, plasmas, condensed matter physics, fluid …

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 …

During the last decades, researchers of different scientific areas have investigated several
systems and materials to suggest new ways of transporting and localizing light. These …

We present a general formalism for the analysis of mechanical lattices with microstructure
using the concept of effective dynamic mass. We first revisit a classical case of …

We develop a simple and general method to construct arbitrary flat-band lattices. We identify
the basic ingredients behind zero-dispersion bands and develop a method to construct …

We report the first experimental demonstration of band-gap guidance of light in an optically
induced two-dimensional photonic lattice with a single-site negative defect (akin to a low …

Nonlinear defect modes (defect solitons) and their stability in one-dimensional photonic
lattices with focusing saturable nonlinearity are investigated. It is shown that defect solitons …

The existence and stability of defect solitons in parity-time (PT) symmetric optical lattices with
nonlocal nonlinearity are reported. It is found that nonlocality can expand the stability region …

During the last decades, researchers of different scientific areas have investigated several
systems and materials to suggest new ways of transporting and localizing light. These …

Solitary waves bifurcated from edges of Bloch bands in two-dimensional periodic media are
determined both analytically and numerically in the context of a two-dimensional nonlinear …