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 …

Open many-body quantum systems have attracted renewed interest in the context of
quantum information science and quantum transport with biological clusters and ultracold …

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 …

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 …

We show the formation of ultraslow optical solitons in a lifetime broadened four-state atomic
medium under Raman excitation. With appropriate conditions we demonstrate, both …

We present a family of exact solutions of the one-dimensional nonlinear Schrödinger
equation which describes the dynamics of a bright soliton in Bose-Einstein condensates with …

We study bright solitons in a Bose-Einstein condensate with a spin-orbit coupling that has
been realized experimentally. Both stationary bright solitons and moving bright solitons are …

The three-coupled Gross-Pitaevskii equation with a harmonic potential in a (2+ 1)-
dimensional spin-1 Bose-Einstein condensate is studied in this paper. Using the Hirota …

We find that diverse nonlinear waves, such as soliton, Akhmediev breather, and rogue
waves (RWs), can emerge and interplay with each other in a two-mode coupled system. It …

We consider, both analytically and numerically, the evolution of two-dimensional (2D)
nonlinear matter-wave pulses in a Bose-Einstein condensate with a disk-shaped trap and …