Quadratic relations in continuous and discrete Painlevé equations

DOI10.1088/0305-4470/33/15/310zbMath0953.34078OpenAlexW1990831823MaRDI QIDQ4507652

T. Tamizhmani, Alfred Ramani, Basile Grammaticos

Publication date: 8 October 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/33/15/310

zbMATH Keywords

discrete Painlevé equationsquadratic relations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Related Items (13)

Bäcklund transformation and soliton solutions for the coupled dispersionless equations ⋮ Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions ⋮ Is My ODE a Painlevé Equation in Disguise? ⋮ Moyal Deformation of 2D Euler Equation and Discretization ⋮ Folding transformations of equations from the Gambier family ⋮ q-deformed Painlevéτfunction andq-deformed conformal blocks ⋮ Folding Transformations and HKY Mappings ⋮ Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials ⋮ Cubic and Quartic Transformations of the Sixth Painlevé Equation in Terms of Riemann–Hilbert Correspondence ⋮ Folding transformations of the Painlevé equations ⋮ Strongly asymmetric discrete Painlevé equations: The multiplicative case ⋮ Higher dimensional integrable mappings derived from coupled discrete nonlinear Schrödinger equations ⋮ Factorization of Ising correlations C(M, N) for ν = −k and M + N odd, M ⩽ N, T < T _c and their lambda extensions

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