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Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case - MaRDI portal

Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case (Q5110784)

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scientific article; zbMATH DE number 7202953

Language	Label	Description	Also known as
English	Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case	scientific article; zbMATH DE number 7202953

Statements

scholarly article

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Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case (English)

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Junkichi Satsuma

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Basile Grammaticos

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Journal of Mathematical Physics

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publication date

22 May 2020

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full work available at URL

https://arxiv.org/abs/1906.06035

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zbMATH Keywords

recurrence relations

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complex functions

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abstract algebra

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MaRDI profile type

MaRDI publication profile

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Discrete versions of the Painlevé equations

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

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From continuous to discrete Painlevé equations

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Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations

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Rational surfaces associated with affine root systems and geometry of the Painlevé equations

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Miura transforms for discrete Painleve equations

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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Discrete dressing transformations and Painlevé equations

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Geometric aspects of Painlevé equations

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An affine Weyl group approach to the eight-parameter discrete Painlevé equation

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Integrable mappings and soliton equations. II

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Do integrable mappings have the Painlevé property?

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Deautonomization by singularity confinement: an algebro-geometric justification

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The redemption of singularity confinement

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On a novel representation of discrete Painlevé equations

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Discrete Painlevé equations associated with the affine Weyl group<i>E</i><sub>8</sub>

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Elliptic and multiplicative discrete Painlevé equations from the affine Weyl group E<sub>8</sub>

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Singularity analysis for difference Painlevé equations associated with the affine Weyl group<i>E</i><sub>8</sub>

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From trihomographic to elliptic Painlevé equations

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Restoring discrete Painlevé equations from an E8(1)-associated one

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Constructing discrete Painlevé equations: from E8(1) to A1(1) and back

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A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group

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On the limits of discrete Painlevé equations associated with the affine Weyl group <i>E</i>8

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Identifiers

zbMATH Open document ID

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10.1063/1.5115023

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5110784

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