56 citations · 225 across the 7 of their papers we have counts for
7 papers
The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions
P. G. Kevrekidis, G. J. Herring, S. Lafortune +1
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schrodinger (NLS) model. We use singularity confinemen…
Radially Symmetric Nonlinear States of Harmonically Trapped Bose-Einstein Condensates
G. Herring, L. D. Carr, R. Carretero-Gonzalez +2
Starting from the spectrum of the radially symmetric quantum harmonic oscillator in two dimensions, we create a large set of nonlinear solutions. The relevant three principal branc…
Symmetry Breaking in Linearly Coupled Dynamical Lattices
G. Herring, P. G. Kevrekidis, B. A. Malomed +2
We examine one- and two-dimensional (1D and 2D) models of linearly coupled lattices of the discrete-nonlinear-Schr{ö}dinger type. Analyzing ground states of the systems with equal…
From Feshbach-Resonance Managed Bose-Einstein Condensates to Anisotropic Universes: Some Applications of the Ermakov-Pinney equation with Time-Dependent Nonlinearity
G. Herring, P. G. Kevrekidis, F. Williams +2
In this work we revisit the topic of two-dimensional Bose-Einstein condensates under the influence of time-dependent magnetic confinement and time-dependent scattering length. A mo…
Dynamics of trapped bright solitons in the presence of localized inhomogeneities
G. Herring, P. G. Kevrekidis, R. Carretero-Gonzalez +3
We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized ``impurity'' in Bose-Einstein condensates (BECs). We study the generation a…
Statics, Dynamics and Manipulations of Bright Matter-Wave Solitons in Optical Lattices
P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-Gonzalez +3
Motivated by recent experimental achievement in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic tra…