Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2017
• 1. Verfasser: Chiba, H.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/148562
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 18 назв. — англ.

A multi-Poisson structure on a Lie algebra g provides a systematic way to construct completely integrable Hamiltonian systems on g expressed in Lax form ∂Xλ/∂t=[Xλ,Aλ] in the sense of the isospectral deformation, where Xλ,Aλ∈g depend rationally on the indeterminate λ called the spectral parameter. I...