This review focuses on recent developments in synthetic spin–orbit (SO) coupling in
ultracold atomic gases. Two types of SO coupling are discussed. One is Raman process …

A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

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 …

The three-coupled Gross-Pitaevskii equation with a harmonic potential in a (2+ 1)-
dimensional spin-1 Bose-Einstein condensate is studied in this paper. Using the Hirota …

We study matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates with
attractive interactions. We use a multiscale expansion method to identify solution families for …

By means of variational methods and systematic numerical analysis, we demonstrate the
existence of metastable solitons in three dimensional (3D) free space, in the context of …

Using the parity and time reversal symmetries of a two-dimensional spin-orbit coupled Bose-
Einstein condensate in a lattice created by the Zeeman field, we identify and find numerically …

We report a diversity of stable gap solitons in a spin-orbit-coupled Bose-Einstein condensate
subject to a spatially periodic Zeeman field. It is shown that the solitons can be classified by …

A brief review is given of some well-known and some very recent results obtained in studies
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …

We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the
pseudospinor system of Gross-Pitaevskii equations with self-and cross attraction, which …