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PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION

Plane wave solutions to the cubic nonlinear Schrödinger equation on a torus have recently been shown to behave orbitally stable. Under generic perturbations of the initial data that are small in a high-order Sobolev norm, plane waves are stable over long times that extend to arbitrary negative power...

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Autors principals: ERWAN FAOU, LUDWIG GAUCKLER, CHRISTIAN LUBICH
Format: Artigo
Idioma:Inglês
Publicat: Cambridge University Press 2014-04-01
Col·lecció:Forum of Mathematics, Sigma
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Accés en línia:https://www.cambridge.org/core/product/identifier/S2050509414000048/type/journal_article
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