论文标题
PFAFFIANS的离散集成系统和冷凝算法
Discrete integrable systems and condensation algorithms for Pfaffians
论文作者
论文摘要
受到道奇（Dodgson）的凝结算法与海洛塔（Hirota）差异方程式之间的联系的启发，我们从离散的集成系统的角度考虑了PFAFFIAN的冷凝算法。 PFAFFIAN元素的离散化证明了其对Pfaffian $τ$ functions和离散集成系统的有效性。离散化中的自由参数尤其使我们能够为Pfaffians获得显式的一参数冷凝算法。
Inspired by the connection between the Dodgson's condensation algorithm and Hirota's difference equation, we consider condensation algorithms for Pfaffians from the perspectives of discrete integrable systems. The discretisation of Pfaffian elements demonstrate its effectiveness to the Pfaffian $τ$-functions and discrete integrable systems. The free parameter in the discretisation allows us in particular to obtain explicit, one-parameter condensation algorithms for the Pfaffians.
