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 …

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 study the stability and characteristics of two-dimensional circular quantum droplets
(QDs) with embedded hidden vorticity (HV), ie, opposite angular momenta in two …

The existence and stability of quantum droplets are studied in ultracold atoms in Bose–
Einstein condensates with a radial period lattice under the Lee–Huang–Yang correction …

We investigate the properties of two-dimensional multipole solitons supported by the
harmonic-Gaussian potential in a medium with competing cubic-quintic nonlinearity. The …

We consider two-dimensional spin-orbit-coupled atomic Bose-Einstein condensate in a
radially periodic potential. The system supports different types of stable self-sustained states …

Abstract The Lee-Huang-Yang (LHY) correction to the mean field dynamics, originated from
quantum fluctuations, can suppress the collapse and create stable localized modes in two …

We address the existence and stability of two-dimensional solitons in optical or matter-wave
media, which are supported by purely nonlinear lattices in the form of a periodic array of …

We establish stability and characteristics of two-dimensional (2D) vortex ring-shaped
quantum droplets (QDs) formed by binary Bose–Einstein condensates. The system is …

We address the existence, stability, and propagation dynamics of multipole-mode solitons in
cubic-quintic nonlinear media with an imprinted annular (ring-shaped) potential. The …