Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit*

Kristelle ROIDOT

ESAIM: Proceedings (2012)

  • Volume: 35, page 275-280
  • ISSN: 1270-900X

Abstract

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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.

How to cite

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ROIDOT, Kristelle. Denis Poisson, Fédération, and Trélat, E., eds. " Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit*." ESAIM: Proceedings 35 (2012): 275-280. <http://eudml.org/doc/251240>.

@article{ROIDOT2012,
abstract = {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.},
author = {ROIDOT, Kristelle},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {275-280},
publisher = {EDP Sciences},
title = { Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit*},
url = {http://eudml.org/doc/251240},
volume = {35},
year = {2012},
}

TY - JOUR
AU - ROIDOT, Kristelle
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit*
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 275
EP - 280
AB - 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.
LA - eng
UR - http://eudml.org/doc/251240
ER -

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