On the modified KP hierarchy: Tau functions, squared eigenfunction symmetries and additional symmetries

• Published in: Journal of Geometry and Physics Vol. 134; pp. 19 - 37
• Main Authors: Cheng, Jipeng, Li, Maohua, Tian, Kelei
• Format: Journal Article
• Language: English; Japanese
• Published: Elsevier B.V 01.12.2018; Elsevier BV
• Subjects: Additional symmetries; Modified KP hierarchy; Squared eigenfunction symmetries; Tau functions; Squared eigenfunction symmetries; Tau functions; Additional symmetries; 35Q53; 37K40; Modified KP hierarchy; 37K10

In this paper, the modified KP hierarchy in the Kupershmidt–Kiso version is investigated starting from the tau functions. There are two tau functions for the modified KP hierarchy. We firstly give some properties about the tau functions, including Hirota bilinear identities and Fay identities. And i...