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 …

In this short topical review, we revisit a number of works on the pattern-forming dynamical
instabilities of Bose–Einstein condensates in one-and two-dimensional settings. In …

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 …

We demonstrate a dramatic change in the interaction forces between dark solitons in
nonlocal nonlinear media. We present what we believe is the first experimental evidence of …

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 …

We present a comprehensive analytical theory of localized nonlinear excitations—dark
solitons—supported by an incoherently pumped, spatially homogeneous exciton-polariton …

We study exciton-polariton nonlinear optical fluids in the high momentum waveguide regime
for the first time. We demonstrate the formation of dark solitons with the expected …

We investigate the dynamics of matter-wave solitons in the presence of a spatially varying
atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is …

Dark solitons, which have better stability in the presence of noise, have potential
applications in optical communication and ultrafast optics. In this paper, the dark soliton …