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 …

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

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 …

The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

Recent progress in wavefront sha** has enabled control of light propagation inside linear
media to focus and image through scattering objects. In particular, light propagation in …

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 the first observation of discrete optical surface solitons at the interface between a
nonlinear self-focusing waveguide lattice and a continuous medium. The effect of power on …

In this study, we employ the bilinear method to construct N th-order solutions for a nonlinear
(3+ 1)-dimensional shallow water equation. Subsequently, we delve into a comprehensive …

We consider the long-term evolution of a random nonlinear wave that propagates in a
multimode optical waveguide. The optical wave exhibits a thermalization process …