%0 Journal Article %T New differential equations in the six-vertex model %A W. Galleas %J Physics %D 2015 %I arXiv %X This letter is concerned with the analysis of the six-vertex model with domain-wall boundaries in terms of partial differential equations (PDEs). The model's partition function is shown to obey a system of PDEs resembling the celebrated Knizhnik-Zamolodchikov equation. The analysis of our PDEs naturally produces a family of novel determinant representations for the model's partition function. %U http://arxiv.org/abs/1508.04690v2