Rational solutions for the discrete Painlevé II equation.
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Publication:1968369
DOI10.1016/S0375-9601(97)00397-6zbMath1053.39500arXivsolv-int/9702001MaRDI QIDQ1968369
Kazushi Yamamoto, Kenji Kajiwara, Yasuhiro Ohta
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9702001
Other functions defined by series and integrals (33E20) Discrete version of topics in analysis (39A12)
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Cites Work
- Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
- From continuous to discrete Painlevé equations
- Casorati determinant solutions for the discrete Painleve-II equation
- Solutions of the second and fourth Painlevé equations, I
- Do integrable mappings have the Painlevé property?
- A study of the alternate discrete Painlevé II equation
- Bilinear discrete Painleve-II and its particular solutions
- On a unified approach to transformations and elementary solutions of Painlevé equations
- Casorati determinant solutions for the discrete Painlevé III equation
- Determinant structure of the rational solutions for the Painlevé II equation
- Cellular automata and ultra-discrete Painlevé equations
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