Systematic solitary waves by linear limit continuation from two anisotropic traps in two-dimensional Bose-Einstein condensates
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917351886159872 |
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| author | Wang, Wenlong |
| author_facet | Wang, Wenlong |
| contents | Linear limit continuation was recently developed as a systematic and effective method for constructing numerically exact solitary waves from their respective linear limits. In this work, we apply the technique to two typical anisotropic harmonic traps in two-dimensional Bose-Einstein condensates to further establish the method and also to find more solitary waves. Many wave patterns are identified in the near-linear regime and they are subsequently continued into the Thomas-Fermi regime, and then they are further continued into the isotropic trap if possible. Finally, the parametric connectivity of the pertinent solitary waves is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17996 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Systematic solitary waves by linear limit continuation from two anisotropic traps in two-dimensional Bose-Einstein condensates Wang, Wenlong Quantum Gases Pattern Formation and Solitons Linear limit continuation was recently developed as a systematic and effective method for constructing numerically exact solitary waves from their respective linear limits. In this work, we apply the technique to two typical anisotropic harmonic traps in two-dimensional Bose-Einstein condensates to further establish the method and also to find more solitary waves. Many wave patterns are identified in the near-linear regime and they are subsequently continued into the Thomas-Fermi regime, and then they are further continued into the isotropic trap if possible. Finally, the parametric connectivity of the pertinent solitary waves is also discussed. |
| title | Systematic solitary waves by linear limit continuation from two anisotropic traps in two-dimensional Bose-Einstein condensates |
| topic | Quantum Gases Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2603.17996 |