Specific features of the numerical solution of problems for a generalized nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Specific features of the numerical solution of problems for a generalized nonlinear Schrödinger equation
zbMATH Open document ID: 0999.65107
DOI: 10.1023/A:1011957621207
author: V. M. Volkov
author: N. P. Matsuka
published in: Differential Equations
publication date: 2001-01-01T00:00:00Z
review text: The authors consider the generalized nonlinear Schrödinger equation describing the nonlinear dynamics of subpicosecond pulses. They point out that accuracy is not improved by decreasing grid elements and show that certain types of solution are unstable. They suggest that unstable modes are associated with periodic boundary conditions. There is little mathematical analysis and the paper is mainly descriptive.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A60
zbMATH DE Number: 1758770
zbMATH Keywords: stability
zbMATH Keywords: finite element method
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: nonlinear dynamics of subpicosecond pulses
zbMATH Keywords: periodic boundary conditions
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: a:1011957621207
OpenAlex ID: W251681991
description: scientific article; zbMATH DE number 1758770