137 citations · 366 across the 9 of their papers we have counts for
9 papers
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…
On the Galerkin / finite-element method for the Serre equations
Dimitrios Mitsotakis, Boaz Ilan, Denys Dutykh
A highly accurate numerical scheme is presented for the Serre system of partial differential equations, which models the propagation of dispersive shallow water waves in the fully-…
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…