Numerical study of blow-up in the Davey-Stewartson system

Handle URI:
http://hdl.handle.net/10754/594180
Title:
Numerical study of blow-up in the Davey-Stewartson system
Authors:
Klein, Christian; Muite, Benson; Roidot, Kristelle
Abstract:
Nonlinear dispersive partial differential equations such as the nonlinear Schrödinger equations can have solutions that blow up. We numerically study the long time behavior and potential blow-up of solutions to the focusing Davey-Stewartson II equation by analyzing perturbations of the lump and the Ozawa solutions. It is shown in this way that both are unstable to blow-up and dispersion, and that blow-up in the Ozawa solution is generic.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Klein C, Muite B, Roidot K (2013) Numerical study of blow-up in the Davey-Stewartson system. Discrete and Continuous Dynamical Systems - Series B 18: 1361–1387. Available: http://dx.doi.org/10.3934/dcdsb.2013.18.1361.
Publisher:
American Institute of Mathematical Sciences (AIMS)
Journal:
Discrete and Continuous Dynamical Systems - Series B
Issue Date:
Mar-2013
DOI:
10.3934/dcdsb.2013.18.1361
Type:
Article
ISSN:
1531-3492
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKlein, Christianen
dc.contributor.authorMuite, Bensonen
dc.contributor.authorRoidot, Kristelleen
dc.date.accessioned2016-01-19T13:23:17Zen
dc.date.available2016-01-19T13:23:17Zen
dc.date.issued2013-03en
dc.identifier.citationKlein C, Muite B, Roidot K (2013) Numerical study of blow-up in the Davey-Stewartson system. Discrete and Continuous Dynamical Systems - Series B 18: 1361–1387. Available: http://dx.doi.org/10.3934/dcdsb.2013.18.1361.en
dc.identifier.issn1531-3492en
dc.identifier.doi10.3934/dcdsb.2013.18.1361en
dc.identifier.urihttp://hdl.handle.net/10754/594180en
dc.description.abstractNonlinear dispersive partial differential equations such as the nonlinear Schrödinger equations can have solutions that blow up. We numerically study the long time behavior and potential blow-up of solutions to the focusing Davey-Stewartson II equation by analyzing perturbations of the lump and the Ozawa solutions. It is shown in this way that both are unstable to blow-up and dispersion, and that blow-up in the Ozawa solution is generic.en
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.subjectBlow-upen
dc.subjectDavey-Stewartson systemsen
dc.subjectParallel computingen
dc.subjectSplit stepen
dc.subjectStability of exact solutionsen
dc.titleNumerical study of blow-up in the Davey-Stewartson systemen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalDiscrete and Continuous Dynamical Systems - Series Ben
dc.contributor.institutionInstitut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078 Dijon Cedex, Franceen
dc.contributor.institutionUniversity of Michigan, 2074 East Hall, 530 Church Street, MI 48109, United Statesen
dc.contributor.institutionFakultät für Mathematik, Nordbergstraße 15, 1090 Wien, Austriaen
kaust.authorMuite, Bensonen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.