2 papers
nlin.SI2024
On Tautological Flows of Partial Difference Equations
Zhonglun Cao, Si-Qi Liu, Youjin Zhang
We propose a new analyzing method, which is called the tautological flow method, to analyze the integrability of partial difference equations (PEs) based on that of partial diff…
math-ph2024
On Hamiltonian Structures of Partial Difference Equations
Zhonglun Cao
We first introduce the notion of Hamiltonian structure for a partial difference equation. Then we construct some infinite quivers, and realize the discrete KdV equation, the Hirota…