Casorati determinant solutions for the discrete Painleve-II equation

DOI10.1088/0305-4470/27/3/030zbMath0811.35150arXivsolv-int/9310002OpenAlexW2625540097MaRDI QIDQ4307152

Kenji Kajiwara, Junkichi Satsuma, Yasuhiro Ohta, Alfred Ramani, Basile Grammaticos

Publication date: 26 September 1994

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

Full work available at URL: https://arxiv.org/abs/solv-int/9310002

zbMATH Keywords

Painlevé propertyquantum gravity\(\tau\) functiondiscrete Toda molecule equationdiscrete Airy functions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (12)

Determinant structure of the rational solutions for the Painlevé II equation ⋮ Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ A \(q\)-analog of the sixth Painlevé equation ⋮ Fairing of discrete planar curves to integrable discrete analogue of Euler’s elasticae ⋮ Geometric aspects of Painlevé equations ⋮ Casorati determinant solutions for the discrete Painlevé III equation ⋮ Rational solutions of difference Painlevé equations ⋮ New exact solutions of the discrete fourth Painlevé equation ⋮ Rational solutions for the discrete Painlevé II equation. ⋮ 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\(_{\text{V}}\)

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