Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering

M Bukov, L D'Alessio, A Polkovnikov - Advances in Physics, 2015 - Taylor & Francis
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 …

Spatiotemporal engineering of matter-wave solitons in Bose–Einstein condensates

E Kengne, WM Liu, BA Malomed - Physics Reports, 2021 - Elsevier
Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials,
intensive experimental and theoretical investigations have been carried out for bright and …

Solitons in nonlinear lattices

YV Kartashov, BA Malomed, L Torner - Reviews of Modern Physics, 2011 - APS
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 …

Spatiotemporal optical solitons

BA Malomed, D Mihalache, F Wise… - Journal of Optics B …, 2005 - iopscience.iop.org
In the course of the past several years, a new level of understanding has been achieved
about conditions for the existence, stability, and generation of spatiotemporal optical …

[图书][B] Soliton management in periodic systems

BA Malomed - 2006 - books.google.com
During the past ten years, there has been intensive development in theoretical and
experimental research of solitons in periodic media. This book provides a unique and …

Optical vortices and vortex solitons

AS Desyatnikov, YS Kivshar, L Torner - Progress in optics, 2005 - Elsevier
In physics, wave propagation is traditionally analyzed by means of regular solutions of wave
equations. However, solutions of wave equations in two and three dimensions often possess …

Variational methods in nonlinear fiber optics and related fields

BA Malomed - Progress in optics, 2002 - Elsevier
The mathematical basis of nonlinear optics is Maxwell's system of equations governing
propagation of electromagnetic waves in a material medium, combined with relations …

Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate

H Saito, M Ueda - Physical review letters, 2003 - APS
Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate Page
1 Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate …

Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length

FK Abdullaev, JG Caputo, RA Kraenkel, BA Malomed - Physical Review A, 2003 - APS
We consider, by means of the variational approximation (VA) and direct numerical
simulations of the Gross-Pitaevskii (GP) equation, the dynamics of two-dimensional (2D) and …

Feshbach resonance management for Bose-Einstein condensates

PG Kevrekidis, G Theocharis, DJ Frantzeskakis… - Physical review …, 2003 - APS
An experimentally realizable scheme of periodic sign-changing modulation of the scattering
length is proposed for Bose-Einstein condensates similar to dispersion-management …