Numerical Study of Blowup in the Davey-Stewartson System
Analysis of PDEs
2011-12-20 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1112.4043,
title = {Numerical Study of Blowup in the Davey-Stewartson System},
author = {C. Klein and B. Muite and K. Roidot},
journal= {arXiv preprint arXiv:1112.4043},
year = {2011}
}
Comments
Some codes related to this article can be found at http://www-personal.umich.edu/~muite/