From Toda Hierarchy to KP Hierarchy

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• ISSN: 1815-0659
• Hauptverfasser: Yang, Di, Zhou, Jian
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/214170
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: From Toda Hierarchy to KP Hierarchy. Di Yang and Jian Zhou. SIGMA 21 (2025), 068, 25 pages

Using the matrix-resolvent method and a formula of the second-named author on the -point function for a KP tau-function, we show that the tau-function of an arbitrary solution to the Toda lattice hierarchy is a KP tau-function. We then generalize this result to tau-functions for the extended Toda hi...