Ultra-light dark matter is a class of dark matter models (DM), where DM is composed by
bosons with masses ranging from 10^-24\, eV< m< eV 10-24 eV< m< eV. These models …

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 …

During the past 30 years there have been important and far reaching developments in the
study of nonlinear waves including" soliton equations", a class of nonlinear wave equations …

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 …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

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 nonlinear vibrational properties of a periodic micromechanical oscillator array have
been measured. For sufficiently large amplitude of the driver, the optic mode of the di …

We predict a dynamical classical superfluid-insulator transition in a Bose-Einstein
condensate trapped in an optical and a magnetic potential. In the tight-binding limit, this …

We report the first experimental observation of nonlinear self-trap** of Bose-condensed R
87 b atoms in a one-dimensional waveguide with a superimposed deep periodic potential …