Numerical study of blow-up in the Davey-Stewartson system
| dc.contributor.author | Klein, Christian | |
| dc.contributor.author | Muite, Benson | |
| dc.contributor.author | Roidot, Kristelle | |
| dc.date.accessioned | 2016-01-19T13:23:17Z | |
| dc.date.available | 2016-01-19T13:23:17Z | |
| dc.date.issued | 2013-04-04 | |
| dc.identifier.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. | |
| dc.identifier.issn | 1531-3492 | |
| dc.identifier.doi | 10.3934/dcdsb.2013.18.1361 | |
| dc.identifier.uri | http://hdl.handle.net/10754/594180 | |
| dc.description.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. | |
| dc.publisher | American Institute of Mathematical Sciences (AIMS) | |
| dc.subject | Blow-up | |
| dc.subject | Davey-Stewartson systems | |
| dc.subject | Parallel computing | |
| dc.subject | Split step | |
| dc.subject | Stability of exact solutions | |
| dc.title | Numerical study of blow-up in the Davey-Stewartson system | |
| dc.type | Article | |
| dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
| dc.identifier.journal | Discrete & Continuous Dynamical Systems - B | |
| dc.contributor.institution | Institut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078 Dijon Cedex, France | |
| dc.contributor.institution | University of Michigan, 2074 East Hall, 530 Church Street, MI 48109, United States | |
| dc.contributor.institution | Fakultät für Mathematik, Nordbergstraße 15, 1090 Wien, Austria | |
| dc.identifier.arxivid | 1112.4043 | |
| kaust.person | Muite, Benson | |
| dc.date.published-online | 2013-04-04 | |
| dc.date.published-print | 2013 |
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Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
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