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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2603.16696 |
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| _version_ | 1866915869999759360 |
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| author | Chen, Meisen Fan, Engui Wang, Zhaoyu Yang, Yiling Zhang, Lun |
| author_facet | Chen, Meisen Fan, Engui Wang, Zhaoyu Yang, Yiling Zhang, Lun |
| contents | In this paper, we propose a soliton gas solution for the focusing Ablowitz-Ladik system. This solution is defined as the large N limit of the N-soliton solution, and arises from a continuous spectrum of poles that accumulate within two disjoint intervals on the imaginary axis. We show that this gas solution admits a Fredholm determinant representation. By further exploring its Riemann-Hilbert characterization, we are able to establish the large-space asymptotics at t = 0 and large-time asymptotics of the gas solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16696 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A dense focusing Ablowitz-Ladik soliton gas and its asymptotics Chen, Meisen Fan, Engui Wang, Zhaoyu Yang, Yiling Zhang, Lun Mathematical Physics Analysis of PDEs In this paper, we propose a soliton gas solution for the focusing Ablowitz-Ladik system. This solution is defined as the large N limit of the N-soliton solution, and arises from a continuous spectrum of poles that accumulate within two disjoint intervals on the imaginary axis. We show that this gas solution admits a Fredholm determinant representation. By further exploring its Riemann-Hilbert characterization, we are able to establish the large-space asymptotics at t = 0 and large-time asymptotics of the gas solution. |
| title | A dense focusing Ablowitz-Ladik soliton gas and its asymptotics |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2603.16696 |