Theory of singular vortex solutions of the nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Theory of singular vortex solutions of the nonlinear Schrödinger equation
zbMATH Open document ID: 1165.35459
author: Gadi Fibich
author: Nir Gavish
published in: Physica D
publication date: 2009-02-10T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5506302
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: vortex
zbMATH Keywords: supercritical
zbMATH Keywords: critical
zbMATH Keywords: self-similar solution
zbMATH Keywords: singularity
zbMATH Keywords: collapse
zbMATH Keywords: ring profile
zbMATH Keywords: blowup rate
zbMATH Keywords: critical power
zbMATH Keywords: power concentration
MaRDI profile type: Publication
full work available at URL: j.physd.2008.04.018
OpenAlex ID: W2041353395
cites work: The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
cites work: The Theory of Spiral Laser Beams in Nonlinear Media
cites work: Auto-waveguide propagation and the collapse of spiral light beams in non-linear media
cites work: Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
cites work: New singular solutions of the nonlinear Schrödinger equation
cites work: Singular ring solutions of critical and supercritical nonlinear Schrödinger equations
cites work: Asymptotics of multibump blow-up self-similar solutions of the nonlinear Schrödinger equation
cites work: Nonradial solutions of a semilinear elliptic equation in two dimensions
cites work: Vortex solitons for 2D focusing nonlinear Schrödinger equation.
cites work: Instability of bound states for 2D nonlinear Schrö\-dinger equations
cites work: Instability of vortex solitons for 2D focusing NLS
cites work: Numerical computation of solitons for optical systems
cites work: On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation
cites work: Nonlinear Schrödinger equations and sharp interpolation estimates
cites work: On uniqueness and continuation properties after blow‐up time of self‐similar solutions of nonlinear schrödinger equation with critical exponent and critical mass
cites work: Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
cites work: Q4871886
cites work: Self-focusing on bounded domains
cites work: Q3482255
cites work: L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
cites work: Atmospheric propagation of gradient-shaped and spinning femtosecond light pulses
cites work: Existence and stability of a solution blowing up on a sphere for an \(L^2\)-supercritical nonlinear Schrödinger equation
cites work: An iterative grid redistribution method for singular problems in multiple dimensions
cites work: New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations
DOI: 10.1016/J.PHYSD.2008.04.018
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description: scientific article; zbMATH DE number 5506302