1. CJM 2001 (vol 53 pp. 278)
|Darboux Transformations for the KP Hierarchy in the Segal-Wilson Setting |
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.
Keywords:KP hierarchy, Darboux transformation, Grassmann manifold
Categories:22E65, 22E70, 35Q53, 35Q58, 58B25