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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2504.19800 |
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| _version_ | 1866915263182536704 |
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| author | Chen, Gong Liu, Jiaqi Tian, Yuanhong |
| author_facet | Chen, Gong Liu, Jiaqi Tian, Yuanhong |
| contents | We derive full asymptotics of the modified KdV equation (mKdV) with a higher-order perturbative term. We make use of the perturbative theory of infinite-dimensional integrable systems developed by P. Deift and X. Zhou \cite{DZ-2}, and some new and simpler proofs of certain $L^\infty$ bounds and $L^p$ a priori estimates developed recently in \cite{CLT}. We show that the perturbed equation exhibits the same long-time behavior as the completely integrable mKdV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long time asymptotics of a perturbed modified KdV equation Chen, Gong Liu, Jiaqi Tian, Yuanhong Analysis of PDEs We derive full asymptotics of the modified KdV equation (mKdV) with a higher-order perturbative term. We make use of the perturbative theory of infinite-dimensional integrable systems developed by P. Deift and X. Zhou \cite{DZ-2}, and some new and simpler proofs of certain $L^\infty$ bounds and $L^p$ a priori estimates developed recently in \cite{CLT}. We show that the perturbed equation exhibits the same long-time behavior as the completely integrable mKdV. |
| title | Long time asymptotics of a perturbed modified KdV equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.19800 |