Based on integrable Hamiltonian systems related to the derivative Schwarzian Korteweg-de Vries (SKdV) equation, a novel discrete Lax pair for the lattice SKdV (lSKdV) equation is given by two copies of a Darboux transformation which can be used to derive an integrable symplectic correspondence. Resorting to the dis- crete version of Liouville-Arnold theorem, finite genus solutions to the lSKdV equation are calculated through Riemann surface method.

中文翻译：

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格 Schwarzian Korteweg-de Vries 方程的有限属解

基于与衍生 Schwarzian Korteweg-de Vries (SKdV) 方程相关的可积哈密顿系统，格子 SKdV (lSKdV) 方程的新型离散 Lax 对由 Darboux 变换的两个副本给出，可用于推导可积辛一致。借助于 Liouville-Arnold 定理的离散版本，lSKdV 方程的有限属解是通过黎曼曲面法计算的。