This article offers a review of (chiefly, theoretical) results for self-trapped states (solitons) in
two-and three-dimensional (2D and 3D) models of nonlinear dissipative media. The …

Over the past few decades, there has been extensive research work carried out in the area
of nonlinear optics and opened a myriad of applications in material science 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 …

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

We investigate the performance of a symmetrical two-dimensional electromagnetically
induced grating produced in a four-level N-type atomic scheme, which interacts with a weak …

We introduce novel classes of higher-order spatial optical solitons in analogy with Laguerre-
Gaussian and Hermite-Gaussian linear eigenmodes. We reveal that stable higher-order …

Abstract A (3+ 1)-dimensional partially nonlocal nonlinear Schrödinger equation is
considered, and approximate spatiotemporal Hermite–Gaussian soliton solutions are …

Abstract A (3+ 1)-dimensional partially nonlocal nonlinear Schrödinger equation with
variable coefficients is considered, and two kinds of reduction are presented. Based on …

Abstract We investigate a (2+ 1)-dimensional coupled nonlinear Schrödinger equation with
spatially modulated nonlinearity and transverse modulation, and derive analytical vector …

We introduce a class of light field that angularly accelerates during propagation. We show
that the acceleration (deceleration) may be controlled by adjustment of a single parameter …