On vector Schwarz-KdV equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915477671903232 |
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| author | Balakhev, M. Sokolov, V. |
| author_facet | Balakhev, M. Sokolov, V. |
| contents | A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We give them for the Schwarz-KdV equation and generalize to the vector case. The existence of these vector generalizations is a non-trivial experimental fact, any mathematical explanation of which is not yet known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03155 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On vector Schwarz-KdV equation Balakhev, M. Sokolov, V. Exactly Solvable and Integrable Systems 35Q53, 37K10 G.1.8 A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We give them for the Schwarz-KdV equation and generalize to the vector case. The existence of these vector generalizations is a non-trivial experimental fact, any mathematical explanation of which is not yet known. |
| title | On vector Schwarz-KdV equation |
| topic | Exactly Solvable and Integrable Systems 35Q53, 37K10 G.1.8 |
| url | https://arxiv.org/abs/2509.03155 |