73 citations · 491 across the 32 of their papers we have counts for
6 papers · 1 filter
Vector nematicons
Theodoros P. Horikis, Dimitrios J. Frantzeskakis
Families of soliton pairs, namely vector solitons, are found within the context of a coupled nonlocal nonlinear Schrodinger system of equations, as appropriate for modeling beam pr…
Rogue waves in nonlocal media
Theodoros P. Horikis, Mark J. Ablowitz
The generation of rogue waves is investigated via a nonlocal nonlinear Schrodinger (NLS) equation. In this system, modulation instability is suppressed and is usually expected that…
Rogue waves in birefringent optical fibers
Mark J. Ablowitz, Theodoros P. Horikis
Rogue waves in birefringent optical fibers are analyzed within the framework of the coupled nonlinear Schrödinger (CNLS) system. The generation of rogue waves is frequently associa…
Asymptotic reductions and solitons of nonlocal nonlinear Schrödinger equations
Theodoros P. Horikis, Dimitrios J. Frantzeskakis
Asymptotic reductions of a defocusing nonlocal nonlinear Schrödinger model in -dimensions, in both Cartesian and cylindrical geometry, are presented. First, at an intermedia…
Modulation instability and solitons in two-color nematic crystals
Theodoros P. Horikis
The conditions under which stable evolution of two nonlinear interacting waves are derived within the context of nematic crystals. Two cases are considered: plane waves and soliton…
Ring dark and anti-dark solitons in nonlocal media
Theodoros P. Horikis, Dimitrios J. Frantzeskakis
Ring dark and anti-dark solitons in nonlocal media are found. These structures have, respectively, the form of annular dips or humps on top of a stable continuous-wave background,…