Discretization effects in the nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Discretization effects in the nonlinear Schrödinger equation
zbMATH Open document ID: 1014.65071
DOI: 10.1016/S0168-9274(02)00112-5
author: Gadi Fibich
author: B. Ilan
published in: Applied Numerical Mathematics
publication date: 2003-03-10T00:00:00Z
review text: The authors analyze discretization effects in blow up of the nonlinear Schrödinger equation (NLS). Examples whose discretization effects in simulations of perturbed NLS equations lead to wrong results are shown. A modified equation of the semi-discrete NLS, which is the NLS with high order anisotropic dispersion, captures the arrest of collapse but not the subsequent oscillations.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1879024
zbMATH Keywords: NLS equation
zbMATH Keywords: self focusing
zbMATH Keywords: blowup
zbMATH Keywords: singularity formation
zbMATH Keywords: beam collapse
zbMATH Keywords: semidiscretization
zbMATH Keywords: numerical examples
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: discretization effects
zbMATH Keywords: oscillations
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1879024