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 …

The aim of this introductory article is two-fold. First, we aim to offer a general introduction to
the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of …

During the past decade there has been an increased interest in the study of localized
structures in optics and in the area of matter waves [atomic Bose-Einstein condensates …

We predict the existence of vortex solitons with one and two embedded off-centered phase
singularities in competing media trapped in a rotating harmonic potential. The Coriolis force …

We show that media with inhomogeneous defocusing cubic nonlinearity growing toward the
periphery can support a variety of stable vortex clusters nested in a common localized …

We put forward a rich variety of optical vortex structures nested in a localized beam
envelope supported by cubic-quintic media confined in a rotating harmonic trap. The …

We study the dynamics of fundamental and vortex solitons in the framework of the nonlinear
Schrödinger equation with the spatial dimension D⩾ 2 with a multiplicative random term …

The analytical two-and three-dimensional vortex solitons with arbitrary values of vorticity are
constructed in the cubic defocusing media with spatially inhomogeneous nonlinearity. The …

We consider settings providing the existence of stable two-dimensional (2D) dissipative
solitons with zero and nonzero vorticity in optical media with quadratic (χ (2)) nonlinearity. To …

A method for generating azimuthons in a nonlinear Kerr medium is presented. The findings
indicate that azimuthons can be represented as a combination of two co-rotational …