28 citations
- Waseda UniversityJP6 papers
- Sapienza University of RomeIT5 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Future University HakodateJP2 papers
- Gakushuin UniversityJP2 papers
- The University of TokyoJP2 papers
- Toho UniversityJP2 papers
- Tokyo University of ScienceJP2 papers
- University of VictoriaCA2 papers
- Academy of Mathematics and Systems ScienceCN1 paper
- Chinese Academy of SciencesCN1 paper
- Institut de Mathématiques de BourgogneFR1 paper
7 papers · 1 filter
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 …
Tau Functions of (n,1) curves and Soliton Solutions on Non-Zero Constant Backgrounds
Atsushi Nakayashiki
We study the tau function of the KP-hierarchy associated with an (n,1) curve . If the corresponding tau function is 1. On the other hand if the tau functio…
Sato Grassmannian and Degenerate Sigma Function
Julia Bernatska, Victor Enolski, Atsushi Nakayashiki
The degeneration of the hyperelliptic sigma function is studied. We use the Sato Grassmannian for this purpose. A simple decomposition of a rational function gives a decomposition…
On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
Atsushi Nakayashiki
In this paper we consider a reducible degeneration of a hyperelliptic curve of genus . Using the Sato Grassmannian we show that the limits of hyperelliptic solutions of the KP-h…
Degeneration of Trigonal Curves and Solutions of the KP-Hierarchy
Atsushi Nakayashiki
It is known that soliton solutions of the KP-hierarchy corresponds to singular rational curves with only ordinary double points. In this paper we study the degeneration of theta fu…
On the Expansion Coefficients of Tau-function of the BKP Hierarchy
Yoko Shigyo
We study the series expansion of the tau function of the BKP hierarchy applying the addition formulae of the BKP hierarchy. Any formal power series can be expanded in terms of Schu…