Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit
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.
@article{EP_2012_35_a27,
author = {Kristelle ROIDOT},
title = {Parallel {Computing} for the study of the focusing {Davey-Stewartson} {II} equation in semiclassical limit},
journal = {ESAIM. Proceedings},
pages = {275--280},
year = {2012},
volume = {35},
doi = {10.1051/proc/201235027},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201235027/}
}
TY - JOUR AU - Kristelle ROIDOT TI - Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit JO - ESAIM. Proceedings PY - 2012 SP - 275 EP - 280 VL - 35 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201235027/ DO - 10.1051/proc/201235027 LA - en ID - EP_2012_35_a27 ER -
%0 Journal Article %A Kristelle ROIDOT %T Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit %J ESAIM. Proceedings %D 2012 %P 275-280 %V 35 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201235027/ %R 10.1051/proc/201235027 %G en %F EP_2012_35_a27
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
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