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Fredholm determinant representation of the homogeneous Painlevé II τ-function

Desiraju, Harini
2021
  • journal article

Periodico
NONLINEARITY
Abstract
We formulate the generic tau-function of the homogeneous Painleve II equation as a Fredholm determinant of an integrable (Its-Izergin-Korepin-Slavnov) operator. The tau-function depends on the isomonodromic time t and two Stokes parameters. The vanishing locus of the tau-function, called the Malgrange divisor is then determined by the zeros of the Fredholm determinant.
DOI
10.1088/1361-6544/abf84a
WOS
WOS:000682151800001
Archivio
https://hdl.handle.net/20.500.11767/142189
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85112540917
https://arxiv.org/abs/2008.01142
https://ricerca.unityfvg.it/handle/20.500.11767/142189
Diritti
closed access
Soggetti
  • Painleve equations

  • integrable operator

  • Riemann-Hilbert probl...

  • Fredholm determinant

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