Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation
- https://doi.org/10.1080/14029251.2020.1819608How to use a DOI?
- lattice Schwarzian Korteweg-de Vries equation, integrable symplectic map, finite genus solution
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.
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Cite this article
TY - JOUR AU - Xiaoxue Xu AU - Cewen Cao AU - Guangyao Zhang PY - 2020 DA - 2020/09 TI - Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation JO - Journal of Nonlinear Mathematical Physics SP - 633 EP - 646 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819608 DO - https://doi.org/10.1080/14029251.2020.1819608 ID - Xu2020 ER -