6533b822fe1ef96bd127ccee
RESEARCH PRODUCT
Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit
Kristelle Roidotsubject
T57-57.97Work (thermodynamics)Applied mathematics. Quantitative methods010102 general mathematicsOne-dimensional spaceMathematics::Analysis of PDEsSemiclassical physics010103 numerical & computational mathematicsParallel computing01 natural sciencesSchrödinger equationsymbols.namesakeNonlinear systemNonlinear Sciences::Exactly Solvable and Integrable SystemsQA1-939symbolsLimit (mathematics)0101 mathematicsNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationMathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-03-01 | ESAIM: Proceedings |