Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

In this short topical review, we revisit a number of works on the pattern-forming dynamical
instabilities of Bose–Einstein condensates in one-and two-dimensional settings. In …

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 …

We observe bright matter-wave solitons form during the collapse of Rb 85 condensates in a
three-dimensional (3D) magnetic trap. The collapse is induced by using a Feshbach …

Nonlinearity in complex systems leads to pattern formation through fundamental interactions
between components. With integrated photonics, precision control of nonlinearity explores …

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

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

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …

Bright solitons are non-dispersive wave solutions, arising in a diverse range of nonlinear,
one-dimensional systems, including atomic Bose–Einstein condensates with attractive …

We propose an integrable model of a multicomponent spinor Bose-Einstein condensate in
one dimension, which allows an exact description of the dynamics of bright solitons with spin …