The Modified Toda Hierarchy

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• Hauptverfasser: Rui, Wenjuan, Guan, Wenchuang, Yang, Yi, Cheng, Jipeng
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212782
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The Modified Toda Hierarchy. Wenjuan Rui, Wenchuang Guan, Yi Yang and Jipeng Cheng. SIGMA 20 (2024), 110, 21 pages

In this paper, the modified Toda (mToda) equation is generalized to form an integrable hierarchy in the framework of Sato theory, which is therefore called the mToda hierarchy. Inspired by the fact that the Toda hierarchy is a 2-component generalization of the usual KP hierarchy, the mToda hierarchy...