On Tautological Flows of Partial Difference Equations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929683787939840 |
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| author | Cao, Zhonglun Liu, Si-Qi Zhang, Youjin |
| author_facet | Cao, Zhonglun Liu, Si-Qi Zhang, Youjin |
| contents | We propose a new analyzing method, which is called the tautological flow method, to analyze the integrability of partial difference equations (P$Δ$Es) based on that of partial differential equations (PDEs). By using this method, we prove that the discrete $q$-KdV equation is a discrete symmetry of the $q$-deformed KdV hierarchy and its bihamiltonian structure, and we also demonstrate how to directly search for continuous symmetries and bihamiltonian structures of P$Δ$Es by using the approximated tautological flows and their quasi-triviality transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19530 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Tautological Flows of Partial Difference Equations Cao, Zhonglun Liu, Si-Qi Zhang, Youjin Exactly Solvable and Integrable Systems We propose a new analyzing method, which is called the tautological flow method, to analyze the integrability of partial difference equations (P$Δ$Es) based on that of partial differential equations (PDEs). By using this method, we prove that the discrete $q$-KdV equation is a discrete symmetry of the $q$-deformed KdV hierarchy and its bihamiltonian structure, and we also demonstrate how to directly search for continuous symmetries and bihamiltonian structures of P$Δ$Es by using the approximated tautological flows and their quasi-triviality transformation. |
| title | On Tautological Flows of Partial Difference Equations |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2409.19530 |