Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials,
intensive experimental and theoretical investigations have been carried out for bright and …

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 …

Nonlinear systems can exhibit a rich set of dynamics that are inherently sensitive to their
initial conditions. One such example is modulational instability, which is believed to be one …

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 …

To study controlled evolution of nonautonomous matter–wave solitons in spinor Bose–
Einstein condensates with spatiotemporal modulation, we focus on a system of three …

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 …

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 …

Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many
physical systems across various disciplines, from tiny laboratory scales to geophysical and …

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 catalytic stereoselective synthesis of compounds with chiral phosphorus centers
remains an unsolved problem. State-of-the-art methods rely on resolution or stoichiometric …