Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation

2020/04/18 by Xiaoxue Xu, Xu, Xiaoxue, Cewen Cao +3
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2004.08689

openalex publication_date 2020/04/18 · openalex created_date 2020/04/24 · openalex updated_date 2026/07/28

Abstract

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 discrete version of Liouville-Arnold theorem, finite genus solutions to the lSKdV equation are calculated through Riemann surface method.

Citations

• On decomposition of the ABS lattice equations and related Bäcklund transformations

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