The hunting for the discrete Painlevé equations
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Publication:1577152
DOI10.1070/rd2000v005n01ABEH000123zbMath0951.39005MaRDI QIDQ1577152
Basile Grammaticos, Alfred Ramani
Publication date: 30 August 2000
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12)
Related Items (13)
Discrete Hamiltonians of discrete Painlevé equations ⋮ On a novel representation of discrete Painlevé equations ⋮ A \(3 \times 3\) Lax form for the \(q\)-Painlevé equation of type \(E_6\) ⋮ Special functions as solutions to discrete Painlevé equations. ⋮ Do all integrable equations satisfy integrability criteria? ⋮ Discrete dressing transformations and Painlevé equations ⋮ On the autonomous limit of discrete Painlevé equations ⋮ Discrete systems related to some equations of the Painlevé-Gambier classification ⋮ Multiple orthogonal polynomials associated with an exponential cubic weight ⋮ Contiguity relations for discrete and ultradiscrete Painleve equations ⋮ Special solutions of discrete Painlevé equations through direct linearisation ⋮ Discretising the Painlevé equations à la Hirota-Mickens ⋮ Special function solutions of the discrete Painlevé equations
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