Schlesinger transforms for the discrete Painlevé IV equation

DOI10.1007/BF00760858zbMath0789.39001MaRDI QIDQ1311009

K. M. Tamizhmani, Basile Grammaticos, Alfred Ramani

Publication date: 26 January 1994

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

special solutionsauto-Bäcklund transformdiscrete Painlevé IV equationSchlesinger transform

Mathematics Subject Classification ID

Topological dynamics (37B99) Additive difference equations (39A10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Integrability of a discrete Heisenberg chain, Casorati determinant solutions for the discrete Painlevé III equation, New exact solutions of the discrete fourth Painlevé equation, A bilinear approach to discrete Miura transformations., A Unified Description of the Asymmetric q-PV and d-PIV Equations and their Schlesinger Transformations, A study of the discrete \(P_ V\) equation: Miura transformations and particular solutions, Proceedings of the 12th international workshop on nonlinear evolution equations and dynamical systems (NEEDS '98), Leeds, UK, June 21--28, 1998. Transl. from the Russian, A simplified version of higher covariant derivative regularization, Bäcklund transformations for discrete Painlevé equations: discrete P\(_{\text{II}}\)-P\(_{\text{V}}\)

Cites Work

• Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem
• Miura transforms for discrete Painleve equations
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?
• On a unified approach to transformations and elementary solutions of Painlevé equations
• Linearization and solutions of the discrete Painlevé III equation
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