Geodesic
Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit
Kristelle ROIDOT1
1 Institut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078 Dijon Cedex, France
ESAIM. Proceedings, Tome 35 (2012), pp. 275-280.

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The asymptotic description of the semiclassical limit of nonlinear Schrödinger equations is a major challenge with so far only scattered results in 1 + 1 dimensions. In this limit, solutions to the NLS equations can have zones of rapid modulated oscillations or blow up. We numerically study in this work the Davey-Stewartson system, a 2 + 1 dimensional nonlinear Schrödinger equation with a nonlocal term, by using parallel computing. This leads to the first results on the semiclassical limit for the Davey-Stewartson equations.
DOI : 10.1051/proc/201235027

Kristelle ROIDOT 1

1 Institut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078 Dijon Cedex, France 
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Kristelle ROIDOT. Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit. ESAIM. Proceedings, Tome 35 (2012), pp. 275-280. doi : 10.1051/proc/201235027. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235027/

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