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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.19530 |
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Table of 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.