50 citations · 62 across the 3 of their papers we have counts for
3 papers
nlin.PS2015
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…
quant-ph2012★ 50 cited
Linear and Nonlinear PT-symmetric Oligomers: A Dynamical Systems Analysis
M. Duanmu, K. Li, R. L. Horne +2
In the present work we focus on the cases of two-site (dimer) and three-site (trimer) configurations, i.e. oligomers, respecting the parity-time (PT) symmetry, i.e., with a spatial…
nlin.PS2005★ 12 cited
Solitary Waves in Discrete Media with Four Wave Mixing
R. L. Horne, P. G. Kevrekidis, N. Whitaker
In this paper, we examine in detail the principal branches of solutions that arise in vector discrete models with nonlinear inter-component coupling and four wave mixing. The relev…