Discrete Painlevé II equation over finite fields

DOI10.1088/1751-8113/45/34/342001zbMath1277.37096arXiv1206.4456OpenAlexW1988910779MaRDI QIDQ3167531

K. M. Tamizhmani, Masataka Kanki, Jun Mada, Tetsuji Tokihiro

Publication date: 2 November 2012

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

Full work available at URL: https://arxiv.org/abs/1206.4456

zbMATH Keywords

finite fieldintegrability testfield of \(p\)-adic numbersdiscrete integrable equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems over finite ground fields (37P25)

Related Items (5)

Deformations of cluster mutations and invariant presymplectic forms ⋮ Some integrable maps and their Hirota bilinear forms ⋮ Integrability criterion in terms of coprime property for the discrete Toda equation ⋮ The space of initial conditions and the property of an almost good reduction in discrete Painlevé II equations over finite fields ⋮ Heron triangles with two rational medians and Somos-5 sequences

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