77 citations · 182 across the 6 of their papers we have counts for
7 papers
Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons
Y. Sivan, G. Fibich, B. Ilan +1
We present a unified approach for qualitative and quantitative analysis of stability and instability dynamics of positive bright solitons in multi-dimensional focusing nonlinear me…
Critical power of collapsing vortices
Gadi Fibich, Nir Gavish
We calculate the critical power for collapse of linearly-polarized phase vortices, and show that this expression is more accurate than previous results. Unlike the non-vortex case,…
Simulations of the Nonlinear Helmholtz Equation: Arrest of Beam Collapse, Nonparaxial Solitons, and Counter-Propagating Beams
Guy Baruch, Gadi Fibich, Semyon V. Tsynkov
We solve the (2+1)D nonlinear Helmholtz equation (NLH) for input beams that collapse in the simpler NLS model. Thereby, we provide the first ever numerical evidence that nonparaxia…
Drift instability and tunneling of lattice solitons
Y. Sivan, G. Fibich, B. Ilan
We derive an analytic formula for the lateral dynamics of solitons in a general inhomogeneous nonlinear media, and show that it can be valid over tens of diffraction lengths. In pa…
High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension
Guy Baruch, Gadi Fibich, Semyon V. Tsynkov
The nonlinear Helmholtz equation (NLH) models the propagation of electromagnetic waves in Kerr media, and describes a range of important phenomena in nonlinear optics and in other…
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…