121 citations · 262 across the 6 of their papers we have counts for
3 papers · 1 filter
The dynamical playground of a higher-order cubic Ginzburg-Landau equation: from orbital connections and limit cycles to invariant tori and the onset of chaos
V. Achilleos, A. R. Bishop, S. Diamantidis +4
The dynamical behavior of a higher-order cubic Ginzburg-Landau equation is found to include a wide range of scenarios due to the interplay of higher-order physically relevant terms…
Collapse for the higher-order nonlinear Schrödinger equation
V. Achilleos, S. Diamantidis, D. J. Frantzeskakis +3
We examine conditions for finite-time collapse of the solutions of the higher-order nonlinear Schrödinger (NLS) equation incorporating third-order dispersion, self-steepening, line…
Nonlinear PT-symmetric models bearing exact solutions
H. Xu, P. G. Kevrekidis, Q. Zhou +3
We study the nonlinear Schrdinger equation with a PT-symmetric potential. Using a hydrodynamic formulation and connecting the phase gradient to the field amplitude, allow…