304 citations · 990 across the 26 of their papers we have counts for
6 papers · 1 filter
Matter-wave solitons with a periodic, piecewise-constant nonlinearity
A. S. Rodrigues, P. G. Kevrekidis, Mason A. Porter +3
Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and st…
Dark matter-wave solitons in the dimensionality crossover
G. Theocharis, P. G. Kevrekidis, M. K. Oberthaler +1
We consider the statics and dynamics of dark matter-wave solitons in the dimensionality crossover regime from 3D to 1D. There, using the nonpolynomial Schrödinger mean-field model,…
On the Emergence of Unstable Modes in an Expanding Domain for Energy-Conserving Wave Equations
K. J. H. Law, P. G. Kevrekidis, D. J. Frantzeskakis +1
Motivated by recent work on instabilities in expanding domains in reaction-diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In parti…
Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
P. Niarchou, G. Theocharis, P. G. Kevrekidis +2
We investigate bright matter-wave solitons in the presence of a spatially varying nonlinearity. It is demonstrated that a translation mode is excited due to the spatial inhomogenei…
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…
Crossover dark soliton dynamics in ultracold one-dimensional Bose gases
D. J. Frantzeskakis, P. G. Kevrekidis, N. P. Proukakis
Ultracold confined one-dimensional atomic gases are predicted to support dark soliton solutions arising from a nonlinear Schrödinger equation of suitable nonlinearity. In weakly-in…