2 papers
nlin.SI2025
Degenerate Addition Formulas of the KP Hierarchy and Applications
Atsushi Nakayashiki
It is well known that tau functions of the KP hierarchy satisfy addition formulas. Among them we consider the formula which expresses a tau function with shifted arguments by …
nlin.SI2023
Vertex Operators of the KP hierarchy and Singular Algebraic Curves
Atsushi Nakayashiki
Quasi-periodic solutions of the KP hierarchy acted by vertex operators are studied. We show, with the aid of the Sato Grassmannian, that solutions thus constructed correspond to to…