We give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …

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

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 …

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 …

Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate Page
1 Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate …

Using similarity transformations we construct explicit nontrivial solutions of nonlinear
Schrödinger equations with potentials and nonlinearities depending both on time and on the …

Using Lie group theory and canonical transformations, we construct explicit solutions of
nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities. We present …

Quantum systems can show qualitatively new forms of behavior when they are driven by fast
time-periodic modulations. In the limit of large driving frequency, the long-time dynamics of …

An experimentally realizable scheme of periodic sign-changing modulation of the scattering
length is proposed for Bose-Einstein condensates similar to dispersion-management …