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 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 …

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 …

We report on the study of binary collisions between quantum droplets formed by an attractive
mixture of ultracold atoms. We distinguish two main outcomes of the collision, ie, merging …

A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

We construct strongly anisotropic quantum droplets with embedded vorticity in the 3D space,
with mutually perpendicular vortex axis and polarization of atomic magnetic moments …

This concise review aims to provide a summary of the most relevant recent experimental and
theoretical results for solitons, ie self-trapped bound states of nonlinear waves, in two-and …

We predict a new type of two-and three-dimensional stable quantum droplets persistently
rotating in broad external two-dimensional and weakly anharmonic potential. Their evolution …

Creation of stable intrinsically anisotropic self-bound states with embedded vorticity is a
challenging issue. Previously, no such states in Bose–Einstein condensates (BECs) or other …

We consider a binary bosonic condensate with weak mean-field (MF) residual repulsion,
loaded in an array of nearly one-dimensional traps coupled by transverse hop**. With the …