Details

Autor(en) / Beteiligte

• Desiraju, Harini

Titel

Fredholm determinant representation of the homogeneous Painlevé II τ-function

Ist Teil von

• Nonlinearity, 2021-09, Vol.34 (9), p.6507-6538

Ort / Verlag

IOP Publishing

Erscheinungsjahr

2021

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Abstract We formulate the generic τ -function of the homogeneous Painlevé II equation as a Fredholm determinant of an integrable (Its–Izergin–Korepin–Slavnov) operator. The τ -function depends on the isomonodromic time t and two Stokes parameters. The vanishing locus of the τ -function, called the Malgrange divisor is then determined by the zeros of the Fredholm determinant.