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Numerical Study of Blowup in the Davey-Stewartson System by Klein, C.; Muite, B.; Roidot, K. is a scholarly article available to read on EtoBox.

What is Numerical Study of Blowup in the Davey-Stewartson System about?

Nonlinear dispersive partial differential equations such as the nonlinear Schr\"odinger equations can have solutions that blow-up. We numerically study the long time behavior and potential blowup of solutions to the focusing Davey-Stewartson II equation by analyzing perturbations of the lump and the Ozawa exact solutions. It is shown in this way that the lump is unstable to both blowup and dispersion, and that blowup in the Ozawa solution is generic.

Author

Klein, C.; Muite, B.; Roidot, K.

Published

2011

Language

EN