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

Christian Klein, Benson Muite, Kristelle Roidot

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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
Issue number5
StatePublished - Apr 4 2013


Dive into the research topics of 'Numerical study of blow-up in the Davey-Stewartson system'. Together they form a unique fingerprint.

Cite this