304 citations · 990 across the 26 of their papers we have counts for
9 papers · 1 filter
Spontaneous Symmetry Breaking in Photonic Lattices: Theory and Experiment
P. G. Kevrekidis, Zhigang Chen, B. A. Malomed +2
We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmet…
Nonlinear Schrödinger lattices II: Persistence and Stability of Discrete Vortices
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We study discrete vortices in the anti-continuum limit of the discrete two-dimensional nonlinear Schr{ö}dinger (NLS) equations. The discrete vortices in the anti-continuum limit re…
Nonlinear Schrödinger lattices I: Stability of discrete solitons
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit re…
Linearly Coupled Bose-Einstein Condensates: From Rabi Oscillations and Quasi-Periodic Solutions to Oscillating Domain Walls and Spiral Waves
B. Deconinck, P. G. Kevrekidis, H. E. Nistazakis +1
In this paper, an exact unitary transformation is examined that allows for the construction of solutions of coupled nonlinear Schr{ö}dinger equations with additional linear field c…
Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
P. G. Kevrekidis, D. J. Frantzeskakis
In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose-Einstein condensates in one- and two-dimensional settings. In part…
Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis +1
This paper is concerned with the long wavelength instabilities (infrared catastrophes) occurring in Bose-Einstein condensates (BECs). We examine the modulational instability in ``c…