304 citations · 990 across the 26 of their papers we have counts for
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Averaging For Solitons With Nonlinearity Management
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We develop an averaging method for solitons of the nonlinear Schr{ö}dinger equation with periodically varying nonlinearity coefficient. This method is used to effectively describe…
Analogies between dark solitons in atomic Bose-Einstein condensates and optical systems
N. P. Proukakis, N. G. Parker, D. J. Frantzeskakis +1
Dark solitons have been observed in optical systems (optical fibres, dielectric guides and bulk media), and, more recently, in harmonically confined atomic Bose-Einstein condensate…
Two-soliton collisions in a near-integrable lattice system
S. V. Dmitriev, P. G. Kevrekidis, B. A. Malomed +1
We examine collisions between identical solitons in a weakly perturbed Ablowitz-Ladik (AL) model, augmented by either onsite cubic nonlinearity (which corresponds to the Salerno mo…
Dark-in-Bright Solitons in Bose-Einstein Condensates with Attractive Interactions
P. G. Kevrekidis, D. J. Frantzeskakis, Boris A. Malomed +2
We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton i…
Ring Dark Solitons and Vortex Necklaces in Bose-Einstein Condensates
G. Theocharis, D. J. Frantzeskakis, P. G. Kevrekidis +2
We introduce the concept of ring dark solitons in Bose-Einstein condensates. We show that relatively shallow rings are not subject to the snake instability, but a deeper ring split…
Domain Walls in Two-Component Dynamical Lattices
P. G. Kevrekidis, Boris A. Malomed, D. J. Frantzeskakis +1
We introduce domain-wall (DW) states in the bimodal discrete nonlinear Schr{ö}dinger equation, in which the modes are coupled by cross phase modulation (XPM). By means of continuat…