This review paper presents an overview of the theoretical and experimental progress on the
study of matter-wave dark solitons in atomic Bose–Einstein condensates. Upon introducing …

Elongated atom traps can confine ultracold gases in the quasi-one-dimensional regime. We
review both the theory of these atom waveguides and their experimental realizations, with …

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 …

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 …

Ultralight axions have sparked attention because their tiny mass m∼ 10-22 eV, which leads
to a kiloparsec-scale de Broglie wavelength comparable to the size of a dwarf galaxy, could …

Unveiling nonequilibrium dynamics of solitonic and topological defect structures in a
multidimensional nonlinear medium is a current frontier across diverse fields. One of the …

Optical lattices have been used as a versatile toolbox to control Bose-Einstein condensates
(BECs) in recent years, and a wealth of emergent nonlinear phenomena have been found …

For the first time, we find the complex solitons for a quasi-one-dimensional Bose–Einstein
condensate with two-and three-body interactions. These localized solutions are …

We consider localized modes (bright solitons) of the one-dimensional quintic nonlinear
Schrödinger equation with a periodic potential, describing several mean-field models of low …

We analyze numerically the formation and the subsequent dynamics of two-dimensional
matter wave dark solitons in a Thomas-Fermi rubidium condensate using various …