Action-angle variables for the nonlinear Schrödinger equation on the half-line
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917716581941248 |
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| author | Xia, Baoqiang |
| author_facet | Xia, Baoqiang |
| contents | We consider the nonlinear Schrödinger (NLS) equation on the half-line subjecting to a class of boundary conditions preserve the integrability of the model. For such a half-line problem, the Poisson brackets of the corresponding scattering data are computed, and the variables of action-angle type are constructed. These action-angle variables completely trivialize the dynamics of the NLS equation on the half-line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06916 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Action-angle variables for the nonlinear Schrödinger equation on the half-line Xia, Baoqiang Exactly Solvable and Integrable Systems We consider the nonlinear Schrödinger (NLS) equation on the half-line subjecting to a class of boundary conditions preserve the integrability of the model. For such a half-line problem, the Poisson brackets of the corresponding scattering data are computed, and the variables of action-angle type are constructed. These action-angle variables completely trivialize the dynamics of the NLS equation on the half-line. |
| title | Action-angle variables for the nonlinear Schrödinger equation on the half-line |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2407.06916 |