Toda lattice realization of integrable hierarchies
High Energy Physics - Theory
2009-10-28 v2
Abstract
We present a new realization of scalar integrable hierarchies in terms of the Toda lattice hierarchy. In other words, we show on a large number of examples that an integrable hierarchy, defined by a pseudodifferential Lax operator, can be embedded in the Toda lattice hierarchy. Such a realization in terms the Toda lattice hierarchy seems to be as general as the Drinfeld--Sokolov realization.
Keywords
Cite
@article{arxiv.hep-th/9511172,
title = {Toda lattice realization of integrable hierarchies},
author = {L. Bonora and C. P. Constantinidis and E. Vinteler},
journal= {arXiv preprint arXiv:hep-th/9511172},
year = {2009}
}
Comments
11 pages, Latex (minor changes, to appear in Lett.Math.Phys.)