49 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of Massachusetts AmherstUS7 papers
- New England CollegeUS6 papers
- Massachusetts Institute of TechnologyUS4 papers
- The University of Texas at AustinUS4 papers
- Florida International UniversityUS3 papers
- Los Alamos National LaboratoryUS3 papers
- Oakland UniversityUS3 papers
- University of California, IrvineUS3 papers
- National and Kapodistrian University of AthensGR2 papers
- San Diego State UniversityUS2 papers
- The University of TokyoJP2 papers
- Tufts UniversityUS2 papers
9 papers · 1 filter
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…
Azimuthal Modulational Instability of Vortices in the Nonlinear Schrödinger Equation
R. M. Caplan, Q. E. Hoq, R. Carretero-González +1
We study the azimuthal modulational instability of vortices with different topological charges, in the focusing two-dimensional nonlinear Schr{ö}dinger (NLS) equation. The method o…
Quantization Of Spin Direction For Solitary Waves In A Uniform Magnetic Field
Q. E. Hoq
It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial…
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…
Statics and Dynamics of an Inhomogeneously-Nonlinear Lattice
Debra L. Machacek, Elizabeth A. Foreman, Q. E. Hoq +4
We introduce an inhomogeneously-nonlinear Schr{ö}dinger lattice, featuring a defocusing segment, a focusing segment and a transitional interface between the two. We illustrate that…