From discrete to continuous Painlevé equations: a bilinear approach

DOI10.1016/0375-9601(96)00292-7zbMath0911.34006arXivsolv-int/9603002OpenAlexW2039876717MaRDI QIDQ5917793

Basile Grammaticos, Yasuhiro Ohta, K. M. Tamizhmani, Alfred Ramani

Publication date: 18 June 1996

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9603002

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (8)

Singularity analysis and bilinear approach to some Bogoyavlensky equations ⋮ Moduli spaces of \(d\)-connections and difference Painlevé equations ⋮ Discrete gap probabilities and discrete Painlevé equations. ⋮ The ultimate discretisation of the Painlevé equations ⋮ On a novel \(q\)-discrete analogue of the Painlevé VI equation ⋮ Discrete integrable equations and special functions ⋮ 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

Cites Work

• Unnamed Item
• Polynomial Hamiltonians associated with Painleve equations. I
• Discrete Painlevé equations: coalescences, limits and degeneracies
• Bilinear structure and Schlesinger transforms of the \(q\)-P\(_{III}\) and \(q\)-P\(_{VI}\) equations
• Bilinear discrete Painleve equations

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