22 citations · 41 across the 2 of their papers we have counts for
2 papers
math.AP2010★ 22 cited
Ring-type singular solutions of the biharmonic nonlinear Schrodinger equation
Guy Baruch, Gadi Fibich, Elad Mandelbaum
We present new singular solutions of the biharmonic nonlinear Schrodinger equation in dimension d and nonlinearity exponent 2σ+1. These solutions collapse with the quasi self-simil…
physics.optics2008★ 19 cited
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…