On Grassmannian description of the constrained KP hierarchy

Authors
Aratyn, H
Citation
H. Aratyn, On Grassmannian description of the constrained KP hierarchy, J GEOM PHYS, 30(4), 1999, pp. 295-312
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
30
Issue
4
Year of publication
1999
Pages
295 - 312
Database
ISI
SICI code
0393-0440(199907)30:4<295:OGDOTC>2.0.ZU;2-1
Abstract
This note develops an explicit construction of the constrained KP hierarchy within the Sate Grassmannian framework. Useful relations are established b etween the kernel elements of the underlying ordinary differential operator and the eigenfunctions of the associated KP hierarchy as well as between t he related bilinear concomitant and the squared eigenfunction potential. (C ) 1999 Elsevier Science B.V. All rights reserved.