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arXiv · 2307.02158

Computation of excited states for the nonlinear Schr{\"o}dinger equation: numerical and theoretical analysis

Christophe Besse·Romain Duboscq·Stefan Le Coz
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Abstract

Our goal is to compute excited states for the nonlinear Schr{\"o}dinger 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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Christophe Besse, Romain Duboscq, Stefan Le Coz. 2023-07-05. Computation of excited states for the nonlinear Schr{\"o}dinger equation: numerical and theoretical analysis. https://arxiv.org/abs/2307.02158

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