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 …

Ultrafast fiber lasers have significant applications in laser communications, ultra-precision
manufacturing, biomedical diagnostics, and so on. Among all the types of ultrashort pulses …

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 …

The dynamics of multiple domain formation caused by the modulation instability of two-
component Bose-Einstein condensates in an axially symmetric trap are studied by …

The letter proposes a modified set of coupled two-dimensional (2D) cubic complex Ginzburg-
Landau (CGL) equations that include Rashba and Dresselhaus as well as helicoidal spin …

We show that bright solitons exist in quasi-one-dimensional heteronuclear multicomponent
Bose-Einstein condensates with repulsive self-interaction and attractive interspecies …

We produce several families of solutions for two-component nonlinear Schrödinger/Gross-
Pitaevskii equations. These include domain walls and the first example of an antidark or …

We investigate nonlinear dynamics induced by the modulation instability of a two-
component mixture in an atomic Bose-Einstein condensate. The nonlinear dynamics is …

In this brief review we summarize a number of recent developments in the study of vortices
in Bose–Einstein condensates, a topic of considerable theoretical and experimental interest …