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arXiv 2006.06221math-phmath.MPnlin.SI
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离散可积系统与Pfrons的凝聚算法

Discrete integrable systems and condensation algorithms for Pfaffians

Shi-Hao Li

摘要:

受Dodgson凝聚算法和Hirota差分方程之间联系的启发,我们从离散可积系统的角度考虑Pfrons的凝聚算法.通过对Pfronan元的离散,证明了它对Pfronan $τ$ -函数和离散可积系统的有效性.在离散化的自由参数,使我们特别是获得明确的,一个参数的凝聚算法的Pfavians。

英文摘要:

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.

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