Quantized Vortex Dynamics of the Coupled Nonlinear Schrödinger Equation
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917844912963584 |
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| author | Zhu, Yongxing |
| author_facet | Zhu, Yongxing |
| contents | We derive rigorously the reduced dynamical law for quantized vortex dynamics of the coupled nonlinear Schrödinger equation without Josephson junction (CNLS) when the core size of vortex $\varepsilon\to 0$. It is proved that when $\varepsilon\to 0$, the vortex motion of one component won't affect the vortex motion on the other component. Moreover, the motion of vortices of each component follows the vortex motion law for the nonlinear Schrödinger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantized Vortex Dynamics of the Coupled Nonlinear Schrödinger Equation Zhu, Yongxing Analysis of PDEs 35B40, 35Q40, 35Q55 We derive rigorously the reduced dynamical law for quantized vortex dynamics of the coupled nonlinear Schrödinger equation without Josephson junction (CNLS) when the core size of vortex $\varepsilon\to 0$. It is proved that when $\varepsilon\to 0$, the vortex motion of one component won't affect the vortex motion on the other component. Moreover, the motion of vortices of each component follows the vortex motion law for the nonlinear Schrödinger. |
| title | Quantized Vortex Dynamics of the Coupled Nonlinear Schrödinger Equation |
| topic | Analysis of PDEs 35B40, 35Q40, 35Q55 |
| url | https://arxiv.org/abs/2411.14753 |