Solutions of mixed Painlevé PIII—Vmodel

DOI10.1088/1751-8121/aaecddzbMath1425.34107arXiv1811.00495OpenAlexW3098292157MaRDI QIDQ5243728

A. H. Zimerman, V. C. C. Alves, J. F. Gomes, Henrik Aratyn

Publication date: 19 November 2019

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00495

zbMATH Keywords

self-similarityintegrable modelsPainlevé equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Painlevé-type functions (33E17)

Related Items (2)

Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations ⋮ Gauge symmetry origin of Bäcklund transformations for Painlevé equations

Cites Work

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• A remark on the theory of nonlinear differential equations with the Painlevé property
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Rational solutions of the fifth Painlevé equation
• On algebraic solutions of the fifth Painlevé equation
• Classical transcendental solutions of the Painlevé equations and their degeneration
• Special polynomials associated with rational solutions of the fifth Painlevé equation
• Painlevé differential equations in the complex plane
• On transformations in the Painlevé family
• REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KdV HIERARCHIES AND THE TWO-MATRIX MODEL
• Bäcklund flux quantization in a model of electrodiffusion based on Painlevé II
• A symmetric system of mixed Painlevé III–V equations and its integrable origin
• Scattering on two Aharonov–Bohm vortices
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• A determinant formula for a class of rational solutions of Painlevé V equation
• One generalization of the second Painlevé hierarchy
• Hybrid Ermakov-Painlevé IV Systems

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