Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in
2012. While the original concept was strongly criticized, it stimulated at the same time an …

This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …

Attraction between the atoms of a Bose–Einstein condensate renders it unstable to collapse,
although a condensate with a limited number of atoms can be stabilized by confinement in …

There is much recent interest in exploiting the spin of conduction electrons in semiconductor
heterostructures together with their charge to realize new device concepts. Electrical …

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 …

All stationary solutions to the one-dimensional nonlinear Schrödinger equation under box
and periodic boundary conditions are presented in analytic form. We consider the case of …

We present a new family of stationary solutions to the cubic nonlinear Schrödinger equation
with an elliptic function potential. In the limit of a sinusoidal potential our solutions model a …

This book introduces the theoretical description and properties of quantum fluids. The focus
is on gaseous atomic Bose–Einstein condensates and, to a minor extent, superfluid helium …

We present the reduced basis method as a tool for developing emulators for equations with
tunable parameters within the context of the nuclear many-body problem. The method uses …

We construct the multi‐breather solutions of the focusing nonlinear Schrödinger equation
(NLSE) on the background of elliptic functions by the Darboux transformation, and express …