Integrable-Hierarchy Derivative-Order Geometry: Multitime Tau Ladders, KP/Toda Hirota Closures, and Finite Plücker Recovery
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866902080584679424 |
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| author | Abu-Ghuwaleh, Mohammad |
| author_facet | Abu-Ghuwaleh, Mohammad |
| contents | <p>This paper lifts derivative-order geometry to integrable hierarchies by introducing multitime tau ladders that track derivative orders along multiple times. It establishes a universal cube law and shows that Hirota bilinear transmutation generates the full hierarchy. Explicit KP/Toda closures are derived, and a finite Plücker recovery theorem proves that a finite jet suffices to recover the derivative-order spectrum.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19567965 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Integrable-Hierarchy Derivative-Order Geometry: Multitime Tau Ladders, KP/Toda Hirota Closures, and Finite Plücker Recovery Abu-Ghuwaleh, Mohammad integrable hierarchy derivative-order geometry multitime tau ladders Hirota transmutation KP/Toda closure Plücker recovery <p>This paper lifts derivative-order geometry to integrable hierarchies by introducing multitime tau ladders that track derivative orders along multiple times. It establishes a universal cube law and shows that Hirota bilinear transmutation generates the full hierarchy. Explicit KP/Toda closures are derived, and a finite Plücker recovery theorem proves that a finite jet suffices to recover the derivative-order spectrum.</p> |
| title | Integrable-Hierarchy Derivative-Order Geometry: Multitime Tau Ladders, KP/Toda Hirota Closures, and Finite Plücker Recovery |
| topic | integrable hierarchy derivative-order geometry multitime tau ladders Hirota transmutation KP/Toda closure Plücker recovery |
| url | https://doi.org/10.5281/zenodo.19567965 |