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 …

The aim of this introductory article is two-fold. First, we aim to offer a general introduction to
the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of …

We analyze the response of rational and regular (hyperbolic-secant) soliton solutions of an
extended nonlinear Schrödinger equation (NLSE) which includes an additional self …

We look into dark solitons in a quasi-1D dipolar Bose gas and in a quantum droplet. We
derive the analytical solitonic solution of a Gross-Pitaevskii-like equation accounting for …

We exploit a few-to many-body approach to study strongly interacting dipolar bosons in the
quasi-one-dimensional system. The dipoles attract each other while the short range …

We investigate, theoretically and numerically, the modulational instability of plane waves in
weakly cubic-quintic nonlocal nonlinear media. Theoretically, the Lenz transformation and …

We investigate properties of dark solitons under competing nonlocal cubic–local quintic
nonlinearities. Analytical results, based on a variational approach and confirmed by direct …

We theoretically investigate the droplets formation in a tightly trapped one-dimensional
dipolar gas of bosonic atoms. When the strength of the dipolar interaction becomes …

We propose a realistic experimental setup for creating quasi-two-dimensional (2D) bright
solitons in dipolar Bose-Einstein condensates (BECs), the existence of which was proposed …

The propagation of optical beams in weakly nonlocal media with cubic-quintic nonlinearity is
studied. The exact solutions for bright and dark solitons are found. The general solutions are …