This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, the effect of
interactions on the formation of a Bose-Einstein condensate are discussed, along with the …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

Parity-time (PT) symmetry is nowadays an active area of research, having an impact in both
science and technology. Parity-time concepts first originated within the framework of …

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 …

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 …

We have created spatial dark solitons in two-component Bose-Einstein condensates in
which the soliton exists in one of the condensate components and the soliton nodal plane is …

Starting from the three-dimensional (3D) Gross-Pitaevskii equation and using a variational
approach, we derive an effective 1D wave equation that describes the axial dynamics of a …

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 …

We review the theory of vortices in trapped dilute Bose-Einstein condensates and compare
theoretical predictions with existing experiments. Mean-field theory based on the time …