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Pré-Publication, Document De Travail Année : 2023

Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis

Résumé

Our goal is to compute excited states for the nonlinear Schrödinger equation in the radial setting. We introduce a new technique based on the Nehari manifold approach and give a comparison with the classical shooting method. We observe that the Nehari method allows to accurately compute excited states on large domains but is relatively slow compared to the shooting method.
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hal-04151806 , version 1 (05-07-2023)

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Christophe Besse, Romain Duboscq, Stefan Le Coz. Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis. 2023. ⟨hal-04151806⟩
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