Darboux Coverings and Rational Reductions of the KP Hierarchy
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
We use the method of Darboux coverings to discuss the invariant submanifolds of the KP equations, presented as conservation laws in the space of monic Laurent series in the spectral parameter (the space of the Hamiltonian densities). We identify a special class of these submanifolds with the rational invariant submanifolds entering matrix models of --gravity, recently characterized by Dickey and Krichever. Four examples of the general procedure are provided.
Keywords
Cite
@article{arxiv.solv-int/9610002,
title = {Darboux Coverings and Rational Reductions of the KP Hierarchy},
author = {Paolo Casati and Gregorio Falqui and Franco Magri and Marco Pedroni},
journal= {arXiv preprint arXiv:solv-int/9610002},
year = {2008}
}
Comments
16 pages, LaTeX