Geometric Aspects of the Painleve Equations PIII(D-6) and PIII(D-7)

Marius Van Der Put; Jaap Top; Jakob Top

doi:10.3842/SIGMA.2014.050

Geometric Aspects of the Painleve Equations PIII(D-6) and PIII(D-7)

Marius Van Der Put^*
, Jaap Top
, Jakob Top

^*Corresponding author for this work

Algebra

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (Scopus)

279 Downloads (Pure)

Abstract

The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painleve varieties, the Painleve property, special solutions and explicit Backlund transformations.

Original language	English
Article number	050
Number of pages	24
Journal	Symmetry, Integrability and Geometry
Volume	10
DOIs	https://doi.org/10.3842/SIGMA.2014.050
Publication status	Published - 2014

Keywords

moduli space for linear connections
irregular singularities
Stokes matrices
monodromy spaces
isomonodromic deformations
Painleve equations
TRANSFORMATIONS
MODULI

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10.3842/SIGMA.2014.050Licence: CC BY-SA

Geometric Aspects of the Painlev´e Equations PIII(D6) and PIII(D7)Final publisher's version, 515 KBLicence: CC BY-SA

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title = "Geometric Aspects of the Painleve Equations PIII(D-6) and PIII(D-7)",

abstract = "The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painleve varieties, the Painleve property, special solutions and explicit Backlund transformations.",

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author = "\{Van Der Put\}, Marius and Jaap Top and Jakob Top",

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language = "English",

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journal = "Symmetry, Integrability and Geometry",

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T1 - Geometric Aspects of the Painleve Equations PIII(D-6) and PIII(D-7)

AU - Van Der Put, Marius

AU - Top, Jaap

AU - Top, Jakob

PY - 2014

Y1 - 2014

N2 - The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painleve varieties, the Painleve property, special solutions and explicit Backlund transformations.

AB - The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painleve varieties, the Painleve property, special solutions and explicit Backlund transformations.

KW - moduli space for linear connections

KW - irregular singularities

KW - Stokes matrices

KW - monodromy spaces

KW - isomonodromic deformations

KW - Painleve equations

KW - TRANSFORMATIONS

KW - MODULI

U2 - 10.3842/SIGMA.2014.050

DO - 10.3842/SIGMA.2014.050

M3 - Article

SN - 1815-0659

VL - 10

JO - Symmetry, Integrability and Geometry

JF - Symmetry, Integrability and Geometry

M1 - 050

ER -

Geometric Aspects of the Painleve Equations PIII(D-6) and PIII(D-7)

Abstract

Keywords

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