RELAXATION SCHEME FOR THE NONLINEAR SCHRODINGER-EQUATION AND DAVEY-STEWARTSON SYSTEMS

Authors
BESSE C
Citation
C. Besse, RELAXATION SCHEME FOR THE NONLINEAR SCHRODINGER-EQUATION AND DAVEY-STEWARTSON SYSTEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(12), 1998, pp. 1427-1432
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
12
Year of publication
1998
Pages
1427 - 1432
Database
ISI
SICI code
0764-4442(1998)326:12<1427:RSFTNS>2.0.ZU;2-8
Abstract
In this paper we introduce a new numerical scheme for the nonlinear Sc hrodinger equation and the Davey-Stewartson systems. This is a relaxat ion type;scheme that avoids the resolution of nonlinear systems. We gi ve convergence results for the semi-discret version, locally in time f or all data and globally in time for small data. (C) Academie des Scie nces/Elsevier, Paris.