Permanent link to this recordhttp://hdl.handle.net/10754/594180
MetadataShow full item record
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.
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.