71 citations · 297 across the 17 of their papers we have counts for
3 papers · 1 filter
Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators
Mark J. Ablowitz, Justin T. Cole
In recent years, there has been considerable interest in the study of wave propagation in nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led re…
Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics
Mark J. Ablowitz, Justin T. Cole, Gennady A. El +2
The propagation of localized solitons in the presence of large-scale waves is a fundamental problem, both physically and mathematically, with applications in fluid dynamics, nonlin…
Unified approach to Floquet lattices, topological insulators, and their nonlinear dynamics
Mark Ablowitz, Justin T. Cole, Sean Nixon
A unified method to analyze the dynamics and topological structure associated with a class of Floquet topological insulators is presented. The method is applied to a system that de…