This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

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 …

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 analyze the response of rational and regular (hyperbolic-secant) soliton solutions of an
extended nonlinear Schrödinger equation (NLSE) which includes an additional self …

We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-
Einstein condensates, with two localized components linearly mixed by the spin-orbit …

We present gap solitons (GSs) that can be created in free nearly two-dimensional (2D)
space in dipolar spinor Bose-Einstein condensates with the spin-orbit coupling (SOC) …

The nonlinear Schrödinger equation (NLSE) with a non-Hermitian term is the model for
various phenomena in nonlinear open quantum systems. We deal with the Cauchy problem …

We study the dynamics of rogue wave excitations and quasi-transitions in one-dimensional
quantum droplets, whose homogeneous-density flat top provides an applicable background …

Three-dimensional quantum gases of strongly dipolar atoms can undergo a crossover from
a dilute gas to a dense macrodroplet, stabilized by quantum fluctuations. Adding a one …

We investigate analytically and numerically propagation and spatial localization of light in
nonlocal media with competing nonlinearities. In particular, we discuss conditions for the …