TODA LATTICE REALIZATION OF INTEGRABLE HIERARCHIES

Authors
BONORA L CONSTANTINIDIS CP VINTELER E
Citation
L. Bonora et al., TODA LATTICE REALIZATION OF INTEGRABLE HIERARCHIES, letters in mathematical physics, 38(4), 1996, pp. 349-363
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
38
Issue
4
Year of publication
1996
Pages
349 - 363
Database
ISI
SICI code
0377-9017(1996)38:4<349:TLROIH>2.0.ZU;2-1
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 num ber of examples that an integrable hierarchy, defined by a pseudo-diff erential 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.