Orlov-Schulman symmetries of the self-dual conformal structure equations
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914494579474432 |
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| author | Bogdanov, L. V. |
| author_facet | Bogdanov, L. V. |
| contents | We construct Orlov-Schulman symmetries for the self-dual conformal structure (SDCS) hierarchy. We provide an explicit proof of compatibility of additional symmetries with the basic Lax-Sato flows of the hierarchy, and consider several simple examples, including Galilean transformations and scalings. We also present a picture of the Orlov-Schulman symmetries in terms of a dressing scheme based on the Riemann-Hilbert problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19282 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Orlov-Schulman symmetries of the self-dual conformal structure equations Bogdanov, L. V. Exactly Solvable and Integrable Systems Mathematical Physics Differential Geometry 37K10, 37K15, 37K25, 35Q75 We construct Orlov-Schulman symmetries for the self-dual conformal structure (SDCS) hierarchy. We provide an explicit proof of compatibility of additional symmetries with the basic Lax-Sato flows of the hierarchy, and consider several simple examples, including Galilean transformations and scalings. We also present a picture of the Orlov-Schulman symmetries in terms of a dressing scheme based on the Riemann-Hilbert problem. |
| title | Orlov-Schulman symmetries of the self-dual conformal structure equations |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Differential Geometry 37K10, 37K15, 37K25, 35Q75 |
| url | https://arxiv.org/abs/2604.19282 |