20 citations · 67 across the 7 of their papers we have counts for
7 papers
Bright Discrete Solitons in Spatially Modulated DNLS Systems
P. G. Kevrekidis, R. L. Horne, N. Whitaker +2
In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics…
Discrete Solitons and Vortices in Anisotropic Hexagonal and Honeycomb Lattices
Q. E. Hoq, P. G. Kevrekidis, A. R. Bishop
In the present work, we consider the self-focusing discrete nonlinear Schrodinger equation on hexagonal and honeycomb lattice geometries. Our emphasis is on the study of the effec…
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…
Interlaced solitons and vortices in coupled DNLS lattices
J. Cuevas, Q. E. Hoq, H. Susanto +1
In the present work, we propose a new set of coherent structures that arise in nonlinear dynamical lattices with more than one components, namely interlaced solitons. These are wav…
Surface Solitons in Three Dimensions
Q. E. Hoq, R. Carretero-Gonzalez, P. G. Kevrekidis +4
We study localized modes on the surface of a three-dimensional dynamical lattice. The stability of these structures on the surface is investigated and compared to that in the bulk…
Stability of Discrete Solitons in the Presence of Parametric Driving
H. Susanto, Q. E. Hoq, P. G. Kevrekidis
In this brief report, we consider parametrically driven bright solitons in the vicinity of the anti-continuum limit. We illustrate the mechanism through which these solitons become…