# Darboux transformations for the KP hierarchy in the Segal-Wilson setting

G.F. Helminck, J.W. van de Leur, J.W. van de Leur

Research output: Book/ReportReportProfessional

## Abstract

In this paper it is shown that inclusions inside the Segal-Wilson Grassmannian give rise to Darboux transformations between the solutions of the $KP$-hierarchy corresponding to these planes. We present a closed form of the operators that procure the transformation and express them in the related geometric data. Further the associated transformation on the level of $\tau$-functions is given.
Original language Undefined Enschede University of Twente, Department of Applied Mathematics 30 Published - 2000

### Publication series

Name Memorandum Faculteit TW University of Twente, Department of Applied Mathematics 1535 0169-2690

## Keywords

• EWI-3355
• MSC-22E70
• MSC-35Q53
• IR-65722
• METIS-141315
• MSC-22E65
• MSC-35Q58
• MSC-58B25