556 citations · 1.4k across the 43 of their papers we have counts for
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Fourier mode dynamics for the nonlinear Schroedinger equation in one-dimensional bounded domains
J. G. Caputo, N. K. Efremidis, Chao Hang
We analyze the 1D focusing nonlinear Schrödinger equation in a finite interval with homogeneous Dirichlet or Neumann boundary conditions. There are two main dynamics, the collapse…
Interlaced linear-nonlinear optical waveguide arrays
Kyriakos Hizanidis, Yannis Kominis, Nikolaos K. Efremidis
The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is revisited as a basis for investigating binary…
Analytic theory of narrow lattice solitons
Y. Sivan, G. Fibich, N. K. Efremidis +1
The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centered at a lattice (potential) maximum…
Three-dimensional vortex solitons in self-defocusing media
Nikolaos K. Efremidis, Kyriakos Hizanidis, Boris A. Malomed +1
We demonstrate that families of vortex solitons are possible in a bi-dispersive three-dimensional nonlinear Schrodinger equation. These solutions can be considered as extensions of…
Multi-channel pulse dynamics in a stabilized Ginzburg-Landau system
H. E. Nistazakis, D. J. Frantzeskakis, J. Atai +3
We study the stability and interactions of chirped solitary pulses in a system of nonlinearly coupled cubic Ginzburg-Landau (CGL) equations with a group-velocity mismatch between t…