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 …

Solitons are among the most distinguishing fundamental excitations in a wide range of
nonlinear systems such as water in narrow channels, high-speed optical communication …

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 discovery of Bose–Einstein condensation (BEC) in trapped ultracold atomic gases in
1995 has led to an explosion of theoretical and experimental research on the properties of …

The theoretical description of trapped weakly interacting Bose–Einstein condensates is
characterized by a large number of seemingly very different approaches which have been …

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 miscibility of two interacting quantum systems is an important testing ground for the
understanding of complex quantum systems. Two-component Bose-Einstein condensates …

We present experimental data showing the head-on collision of dark solitons generated in
an elongated Bose-Einstein condensate. No discernable interaction can be recorded, in full …

At the interface between two fluid layers in relative motion, infinitesimal fluctuations can be
exponentially amplified, inducing vorticity and the breakdown of the laminar flow. This …

The interaction of two counterpropagating solitons of equal amplitudes has been studied
experimentally and numerically in a monolayer strongly coupled complex plasma. Complex …