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Remarks on the Yablonskii-Vorob'ev polynomials (Q1413466)

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scientific article; zbMATH DE number 2004167

Language	Label	Description	Also known as
English	Remarks on the Yablonskii-Vorob'ev polynomials	scientific article; zbMATH DE number 2004167

Statements

scholarly article

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Remarks on the Yablonskii-Vorob'ev polynomials (English)

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Peter A. Clarkson

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Physics Letters. A

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publication date

16 November 2003

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zbMATH Keywords

Hamiltonian theory

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fourth-order bilinear ordinary differential equation

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fifth-order quad-linear difference equation

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.physleta.2003.10.016

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Solitons and rational solutions of nonlinear evolution equations

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On a class of polynomials connected with the Korteweg-de Vries equation

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Rational Solutions of Painlevé Equations

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Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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Equations différentielles du second ordre en Y et du second degré en Y dont l'intégrale générale est à points critiques fixes

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New similarity reductions of the Boussinesq equation

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The second Painlev equation, its hierarchy and associated special polynomials

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On the relation between the continuous and discrete Painlevé equations

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Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree

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On a unified approach to transformations and elementary solutions of Painlevé equations

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From continuous to discrete Painlevé equations

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Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.

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Special polynomials and the Hirota Bilinear relations of the second and the fourth Painlevé equations

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Lie symmetries of a generalised non-linear Schrodinger equation. III. Reductions to third-order ordinary differential equations

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Painlevé differential equations in the complex plane

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

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On the irreducibility conjecture based on computer calculation for Yablonskii-Vorobiev polynomials which give a rational solution of the Toda equation of Painlevé-II type

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Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)

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The Painlevé property. One century later

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Remarks on the Yablonskii-Vorob’ev polynomials

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Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters

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Solutions of the second and fourth Painlevé equations, I

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSLETA.2003.10.016

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Sitelinks

Mathematics(1 entry)

mardi Publication:1413466

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