Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

In this review we try to capture some of the recent excitement induced by experimental
developments, but also by a large volume of theoretical and computational studies …

A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

The dynamics of wave packets in the fractional Schrödinger equation is still an open
problem. The difficulty stems from the fact that the fractional Laplacian derivative is …

We perform a survey of some recent theoretical and experimental studies on
multidimensional (two-and three-dimensional) localized structures in optical and matter …

This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

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 …

It is commonly known that two-dimensional mean-field models of optical and matter waves
with cubic self-attraction cannot produce stable solitons in free space because of the …

Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many
physical systems across various disciplines, from tiny laboratory scales to geophysical and …

Various solutions to the P T-symmetric nonlocal Davey–Stewartson (DS) I equation with
nonzero boundary condition are derived by constraining different tau functions of the …