Fredholm determinant representation of the homogeneous Painlevé II τ-function
نویسندگان
چکیده
We formulate the generic $\tau$-function of Painlev\'e II equation as a Fredholm determinant an integrable (Its-Izergin-Korepin-Slavnov) operator. The depends on isomonodromic time $t$ and two Stokes' parameters, vanishing locus $\tau$-function, called Malgrange divisor is determined by zeros determinant.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2021
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/abf84a