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

Christian Klein, Benson Muite, Kristelle Roidot

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)1361-1387
Number of pages27
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume18
Issue number5
DOIs
StatePublished - Apr 4 2013

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