DARBOUX COVERINGS AND RATIONAL REDUCTIONS OF THE KP HIERARCHY

Authors
CASATI P FALQUI G MAGRI F PEDRONI M
Citation
P. Casati et al., DARBOUX COVERINGS AND RATIONAL REDUCTIONS OF THE KP HIERARCHY, letters in mathematical physics, 41(3), 1997, pp. 291-305
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
41
Issue
3
Year of publication
1997
Pages
291 - 305
Database
ISI
SICI code
0377-9017(1997)41:3<291:DCARRO>2.0.ZU;2-I
Abstract
We use the method of Darboux coverings to discuss the invariant subman ifolds of the KP equations presented as conservation laws in the space of monic Laurent series in the spectral parameter (the space of the H amiltonian densities). We identify a special class of these submanifol ds with the rational invariant submanifolds entering matrix models of two-dimensional gravity recently characterized by Dickey and Krichever . Four examples of the general procedure are provided.