Letters in Mathematical Physics

, Volume 38, Issue 4, pp 349–363

Toda lattice realization of integrable hierarchies

  • L. Bonora
  • C. P. Constantinidis
  • E. Vinteler

DOI: 10.1007/BF01815518

Cite this article as:
Bonora, L., Constantinidis, C.P. & Vinteler, E. Lett Math Phys (1996) 38: 349. doi:10.1007/BF01815518


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 pseudo-differential 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.

Mathematics Subject Classification (1991)


Key words

Toda lattice hierarchyintegrable hierarchiesGelfand-Dickey formalism

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • L. Bonora
    • 1
    • 2
  • C. P. Constantinidis
    • 3
  • E. Vinteler
    • 4
  1. 1.International School for Advanced Studies (SISS/ISAS)TriesteItaly
  2. 2.Sezione di TriesteINFNTriesteItaly
  3. 3.Instituto di Física Teórica-UNESPSào PaoloBrasil
  4. 4.International School for Advanced Studies (SISSA/ISAS)TriesteItaly