30 citations · 44 across the 3 of their papers we have counts for
3 papers
math.AP2011★ 13 cited
Continuations of the nonlinear Schrödinger equation beyond the singularity
G. Fibich, M. Klein
We present four continuations of the critical nonlinear \schro equation (NLS) beyond the singularity: 1) a sub-threshold power continuation, 2) a shrinking-hole continuation for ri…
math.AP2010★ 30 cited
Singular solutions of the L^2-supercritical biharmonic Nonlinear Schrodinger equation
Guy Baruch, Gadi Fibich
We use asymptotic analysis and numerical simulations to study peak-type singular solutions of the supercritical biharmonic NLS. These solutions have a quartic-root blowup rate, and…
nlin.PS2007★ 1 cited
Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
Stefan Le-Coz, Reika Fukuizumi, Gadi Fibich +2
We study analytically and numerically the stability of the standing waves for a nonlinear Schrödinger equation with a point defect and a power type nonlinearity. A main difficulty…