Hamiltonian structure of pi hierarchy

DOI10.3842/SIGMA.2007.042zbMath1147.34065arXivnlin/0610073OpenAlexW2124503165MaRDI QIDQ2473438

Kanehisa Takasaki

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0610073

zbMATH Keywords

Hamiltonian structureDarboux coordinatesKP hierarchyPainlevé equationsisomonodromic deformations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation ⋮ Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability ⋮ Multicomponent Painlevé ODEs and related nonautonomous KdV stationary hierarchies ⋮ Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems ⋮ Twistor reductions of the KdV hierarchy

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