137 citations · 366 across the 9 of their papers we have counts for
7 papers · 1 filter
Whitham modulation theory and two-phase instabilities for generalized nonlinear Schrödinger equations with full dispersion
Patrick Sprenger, Mark A. Hoefer, Boaz Ilan
The generalized nonlinear Schrödinger equation with full dispersion (FDNLS) is considered in the semiclassical regime. The Whitham modulation equations are obtained for the FDNLS e…
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability
Adam L. Binswanger, Mark A. Hoefer, Boaz Ilan +1
The Whitham equation was proposed as a model for surface water waves that combines the quadratic flux nonlinearity of the Korteweg-de Vries equation and th…
Candlestick Modes and Anisotropic Collapse of Dipolar Bose-Einstein Condensates
Jessica R. Taylor, Boaz Ilan
We use a gradient-decent method to compute 3D ground states of dipolar Bose-Einstein conden- sates. We discover that in highly-prolate traps, whose long axis is parallel to the dip…
Band-edge solitons, Nonlinear Schrodinger / Gross-Pitaevskii Equations and Effective Media
Boaz Ilan, Michael I. Weinstein
We consider a class of nonlinear Schrodinger / Gross-Pitaevskii (NLS/GP) equations with periodic potentials, having an even symmetry. We construct "solitons", centered about any po…
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…
Multiple filamentation induced by input-beam ellipticity
Audrius Dubietis, Gintaras Tamousauskas, Gadi Fibich +1
The standard explanation for multiple filamentation (MF) of intense laser beams has been that it is initiated by input beam noise (modulational instability). In this study we provi…