A NUMERICAL APPROACH TO BLOW-UP ISSUES FOR DAVEY-STEWARTSON II SYSTEMS

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TitreA NUMERICAL APPROACH TO BLOW-UP ISSUES FOR DAVEY-STEWARTSON II SYSTEMS
Type de publicationJournal Article
Year of Publication2015
AuteursKlein C, Saut J-C
JournalCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume14
Pagination1443-1467
Date PublishedJUL
Type of ArticleArticle
ISSN1534-0392
Mots-clésBlow-up, Davey-Stewartson equations, long time behavior numerical approaches
Résumé

We provide a numerical study of various issues pertaining to the dynamics of the Davey-Stewartson II systems. In particular we investigate whether or not the properties (blow-up, radiation, ...) displayed by the focusing and defocusing Davey-Stewartson II integrable systems persist in the non integrable cases.

DOI10.3934/cpaa.2015.14.1443