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 …

Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

Spatiotemporal sculpturing of light pulse with ultimately sophisticated structures represents a
major goal of the everlasting pursue of ultra-fast information transmission and processing as …

Attractive Bose-Einstein condensates can host two types of macroscopic self-bound states:
bright solitons and quantum droplets. Here, we investigate the connection between them …

This brief review summarizes recent theoretical and experimental results which predict and
establish the existence of quantum droplets (QDs), ie, robust two-and three-dimensional (2D …

The article produces a brief review of some recent results which predict stable propagation
of solitons and solitary vortices in models based on the nonlinear Schrödinger equation …

We present a survey of some recent theoretical and experimental studies on nonlinear
waves that form and propagate in a broad class of optical and matterwave media. The article …

Diffraction-free optical beams propagate freely without change in shape and scale.
Monochromatic beams that avoid diffractive spreading require two-dimensional transverse …

Dissipative solitons are localized formations of an electromagnetic field that are balanced
through an energy exchange with the environment in presence of nonlinearity, dispersion …