Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation
Exactly Solvable and Integrable Systems
2020-04-21 v1
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.
Keywords
Cite
@article{arxiv.2004.08689,
title = {Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation},
author = {Xiaoxue Xu and Cewen Cao and Guangyao Zhang},
journal= {arXiv preprint arXiv:2004.08689},
year = {2020}
}