Abstract 2D and 3D solitons and related states, such as quantum droplets, can appear in
optical systems, atomic Bose–Einstein condensates (BECs) and liquid crystals, among other …

This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …

One of the most interesting phenomena in solid-state physics is Anderson localization,
which predicts that an electron may become immobile when placed in a disordered lattice …

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 …

Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

In the course of the past several years, a new level of understanding has been achieved
about conditions for the existence, stability, and generation of spatiotemporal optical …

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 show that the orbital angular momentum can be used to unveil lattice properties hidden
in diffraction patterns of a simple triangular aperture. Depending on the orbital angular …

In physics, wave propagation is traditionally analyzed by means of regular solutions of wave
equations. However, solutions of wave equations in two and three dimensions often possess …

Controlling light transport in nonlinear active environments is a topic of considerable interest
in the field of optics. In such complex arrangements, of particular importance is to devise …