Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915008271613952 |
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| author | Besse, Christophe Duboscq, Romain Coz, Stefan Le |
| author_facet | Besse, Christophe Duboscq, Romain Coz, Stefan Le |
| contents | Our goal is to compute excited states for the nonlinear Schr{ö}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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02158 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis Besse, Christophe Duboscq, Romain Coz, Stefan Le Analysis of PDEs Numerical Analysis Our goal is to compute excited states for the nonlinear Schr{ö}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. |
| title | Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2307.02158 |