The physics of dipolar bosonic quantum gases
This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …
The discrete nonlinear Schrödinger equation: a survey of recent results
In this paper we review a number of recent developments in the study of the Discrete
Nonlinear Schrödinger (DNLS) equation. Results concerning ground and excited states …
Nonlinear Schrödinger (DNLS) equation. Results concerning ground and excited states …
Discrete solitons and breathers with dilute Bose-Einstein condensates
We study the dynamical phase diagram of a dilute Bose-Einstein condensate (BEC) trapped
in a periodic potential. The dynamics is governed by a discrete nonlinear Schrödinger …
in a periodic potential. The dynamics is governed by a discrete nonlinear Schrödinger …
[BOOK][B] Encyclopedia of nonlinear science
A Scott - 2006 - taylorfrancis.com
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 …
mathematical background for nonlinear science, as well as its applications to key problems …
Observation of asymmetric transport in structures with active nonlinearities
A mechanism for asymmetric transport which is based on parity-time-symmetric
nonlinearities is presented. We show that in contrast to the case of conservative …
nonlinearities is presented. We show that in contrast to the case of conservative …
Self-induced topological transitions and edge states supported by nonlinear staggered potentials
The canonical Su-Schrieffer-Heeger (SSH) array is one of the basic geometries that have
spurred significant interest in topological band-gap modes. Here, we show that the judicious …
spurred significant interest in topological band-gap modes. Here, we show that the judicious …
Integrable discrete symmetric model
An exactly solvable discrete PT invariant nonlinear Schrödinger-like model is introduced. It
is an integrable Hamiltonian system that exhibits a nontrivial nonlinear PT symmetry. A …
is an integrable Hamiltonian system that exhibits a nontrivial nonlinear PT symmetry. A …
Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, N-fold Darboux transformation and explicit exact …
Y Shen, B Tian, TY Zhou, XT Gao - Chaos, Solitons & Fractals, 2022 - Elsevier
Nonlinear differential-difference equations appear in optics, condensed matter physics,
plasma physics and other fields. In this paper, we investigate a nonlinear differential …
plasma physics and other fields. In this paper, we investigate a nonlinear differential …
Nonlinear dispersion properties of one-dimensional mechanical metamaterials with inertia amplification
Architected metamaterials offering superior dynamic performances can be conceived by
inducing local mechanisms of inertia amplification in the periodic microstructure. A one …
inducing local mechanisms of inertia amplification in the periodic microstructure. A one …
Energy transmission in the forbidden band gap of a nonlinear chain
F Geniet, J Leon - Physical review letters, 2002 - APS
A nonlinear chain driven by one end may propagate energy in the forbidden band gap by
means of nonlinear modes. For harmonic driving at a given frequency, the process occurs at …
means of nonlinear modes. For harmonic driving at a given frequency, the process occurs at …