Hamiltonian Structure of PI Hierarchy

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2007
• ISSN: 1815-0659
• 1. Verfasser: Takasaki, K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147820
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Hamiltonian Structure of PI Hierarchy / K. Takasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 41 назв. — англ.

The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting isomonodromic deformations, and they altogether form a hierarchy called th...