Lagrangian multiforms and dispersionless integrable systems
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911249588027392 |
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| author | Ferapontov, Evgeny V. Vermeeren, Mats |
| author_facet | Ferapontov, Evgeny V. Vermeeren, Mats |
| contents | We demonstrate that interesting examples of Lagrangian multiforms appear naturally in the theory of multidimensional dispersionless integrable systems as (a) higher-order conservation laws of linearly degenerate PDEs in 3D, and (b) in the context of Gibbons-Tsarev equations governing hydrodynamic reductions of heavenly type equations in 4D. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lagrangian multiforms and dispersionless integrable systems Ferapontov, Evgeny V. Vermeeren, Mats Exactly Solvable and Integrable Systems Mathematical Physics We demonstrate that interesting examples of Lagrangian multiforms appear naturally in the theory of multidimensional dispersionless integrable systems as (a) higher-order conservation laws of linearly degenerate PDEs in 3D, and (b) in the context of Gibbons-Tsarev equations governing hydrodynamic reductions of heavenly type equations in 4D. |
| title | Lagrangian multiforms and dispersionless integrable systems |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2503.22615 |