Connection formulae for Painlevé V functions

DOI10.1016/0167-2789(86)90053-9zbMath0639.58041OpenAlexW2126771882MaRDI QIDQ1099864

Shuang Tang, Barry M. McCoy

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90053-9

zbMATH Keywords

matched asymptotic expansionsKorteweg-de Vries equationinvariance propertiesWKB methodPainlevé V equations

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Partial differential equations of mathematical physics and other areas of application (35Q99) Asymptotic theory for ordinary differential equations (34E99)

Related Items

The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability, New results for the correlation functions of the Ising model and the transverse Ising chain, Connection formulae for Painlevé V functions. II: the \(\delta\) function Bose gas problem, Scaling limits in the second Painlevé transcendent, From hardcore bosons to free fermions with Painlevé V, On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential, Form factor approach to dynamical correlation functions in critical models, Justification of the asymptotic formulas obtained by the isomonodromic deformation method, Turning points of linear systems and the double asymptotics of the Painlevé transcendents, The second Painlevé equation in a problem concerning nonlinear effects near caustics, Essential singularity of the second-genus Painlevé function and the nonlinear Stokes phenomenon, Radiation of short waves by a pair of plates reinforced by a semi-infinite set of ribbed stiffeners, Level spacing functions and connection formulas for Painlevé V transcendent, Special polynomials associated with rational solutions of the fifth Painlevé equation, Irregular conformal blocks and connection formulae for Painlevé V functions, Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation, On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case, Asymptotics of a cubic sine kernel determinant

Cites Work

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• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent
• Supplement to holonomic quantum fields. IV
• Painlevé functions of the third kind
• Asymptotic Solutions of the Korteweg-deVries Equation