73 citations · 491 across the 32 of their papers we have counts for
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Universal reductions and solitary waves of weakly nonlocal defocusing nonlinear Schrödinger equations
G. N. Koutsokostas, T. P. Horikis, P. G. Kevrekidis +1
We study asymptotic reductions and solitary waves of a weakly nonlocal defocusing nonlinear Schrödinger (NLS) model. The hydrodynamic form of the latter is analyzed by means of mul…
Exciting extreme events in the damped and AC-driven NLS equation through plane wave initial conditions
Sevastos Diamantidis, Theodoros P. Horikis, Nikos I. Karachalios
We investigate, by direct numerical simulations, the dynamics of the damped and forced nonlinear Schrödinger (NLS) equation in the presence of a time periodic forcing and for certa…
Integrable reduction and solitons of the Fokas-Lenells equation
Theodoros P. Horikis
Novel soliton structures are constructed for the Fokas-Lenells equation. In so doing, and after discussing the stability of continuous waves, a multiple scales perturbation theory…
Solitary waves in the resonant nonlinear Schrödinger equation: stability and dynamical properties
F. Williams, F. Tsitoura, T. P. Horikis +1
The stability and dynamical properties of the so-called resonant nonlinear Schrödinger (RNLS) equation, are considered. The RNLS is a variant of the nonlinear Schrödinger (NLS) equ…