Discretization effects in the nonlinear Schrödinger equation (Q1861975)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Discretization effects in the nonlinear Schrödinger equation |
scientific article; zbMATH DE number 1879024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discretization effects in the nonlinear Schrödinger equation |
scientific article; zbMATH DE number 1879024 |
Statements
Discretization effects in the nonlinear Schrödinger equation (English)
0 references
10 March 2003
0 references
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.
0 references
NLS equation
0 references
self focusing
0 references
blowup
0 references
singularity formation
0 references
beam collapse
0 references
semidiscretization
0 references
numerical examples
0 references
nonlinear Schrödinger equation
0 references
discretization effects
0 references
oscillations
0 references
0 references
0 references
0 references
0 references
0.94652605
0 references
0.9305549
0 references
0.92910254
0 references
0.92548364
0 references
0.9220039
0 references
0.91826797
0 references
