This brief review summarizes recent theoretical and experimental results which predict and
establish the existence of quantum droplets (QDs), ie, robust two-and three-dimensional (2D …

Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …

The modulational instability (MI) phenomenon is addressed in a nonlocal medium under
controllable saturation. The linear stability analysis of a plane-wave solution is used to …

We introduce spatiotemporal spinning solitons (vortex tori) of the three-dimensional
nonlinear Schrödinger equation with focusing cubic and defocusing quintic nonlinearities …

In this paper, we study the cubic-quintic nonlinear Schrödinger equation (CQ-NLSE) to
describe the propagation properties of nonlinear periodic waves (PW) in an optical fiber. We …

In this thesis I report on experiments that enter a new regime in the many body physics of
ultracold atomic gases. A Bose-Einstein condensate is loaded into a three-dimensional …

We discuss localized ground states of Bose-Einstein condensates (BEC's) in optical lattices
with attractive and repulsive three-body interactions in the framework of a quintic nonlinear …

By means of analytical and numerical methods, we address the modulational instability (MI)
in chiral condensates governed by the Gross-Pitaevskii equation including the current …

In this paper, we consider an extended form of generalized (2+ 1)-dimensional Hirota
bilinear equation which demonstrates nonlinear wave phenomena in shallow water …