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 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 …

We address the existence and stability of vortex solitons in a ring-shaped partially-parity-
time (pPT) configuration. In sharp contrast to the reported nonlinear modes in PT-or pPT …

We experimentally observe a vortex six-wave mixing (SWM), namely, enhanced four-wave
mixing (FWM), signal with its orbital angular momentum transferred from a vortex probe via a …

We demonstrate the existence and stability of bright vortex solitons sustained by a ring-
shaped parametric gain, for both focusing and defocusing Kerr nonlinearities in lossy optical …

The phenomenon of stable persistent currents is central to the studies of superfluidity in a
range of physical systems. While most of the previous theoretical studies of superfluid flows …

In this study, we investigate the existence and stability of in-phase and out-of-phase
dissipative solitons in a dual-waveguide lattice with linear localized gain and nonlinear …

We present numerical analysis of steady states in a two-component (spinor) driven-
dissipative quantum fluid formed by condensed exciton polaritons in an annular optically …

We consider the kick-(tilt-) induced mobility of two-dimensional (2D) fundamental dissipative
solitons in models of bulk lasing media based on the 2D complex Ginzburg-Landau …

We analyze pattern-formation scenarios in the two-dimensional (2D) complex Ginzburg–
Landau (CGL) equation with the cubic–quintic (CQ) nonlinearity and a cellular potential. The …