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

dc.contributor.authorKlein, Christian
dc.contributor.authorMuite, Benson
dc.contributor.authorRoidot, Kristelle
dc.date.accessioned2016-01-19T13:23:17Z
dc.date.available2016-01-19T13:23:17Z
dc.date.issued2013-03
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.
dc.identifier.issn1531-3492
dc.identifier.doi10.3934/dcdsb.2013.18.1361
dc.identifier.urihttp://hdl.handle.net/10754/594180
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.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.subjectBlow-up
dc.subjectDavey-Stewartson systems
dc.subjectParallel computing
dc.subjectSplit step
dc.subjectStability of exact solutions
dc.titleNumerical study of blow-up in the Davey-Stewartson system
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalDiscrete and Continuous Dynamical Systems - Series B
dc.contributor.institutionInstitut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078 Dijon Cedex, France
dc.contributor.institutionUniversity of Michigan, 2074 East Hall, 530 Church Street, MI 48109, United States
dc.contributor.institutionFakultät für Mathematik, Nordbergstraße 15, 1090 Wien, Austria
kaust.personMuite, Benson


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