77 citations · 118 across the 4 of their papers we have counts for
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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…
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…
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…
Interaction-induced localization of anomalously-diffracting nonlinear waves
Y. Linzon, Y. Sivan, B. Malomed +3
We study experimentally the interactions between normal solitons and tilted beams in glass waveguide arrays. We find that as a tilted beam, traversing away from a normally propagat…