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Toda lattice realization of integrable hierarchies

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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 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.

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Authors and Affiliations

  1. International School for Advanced Studies (SISS/ISAS), Via Beirut 2, 34014, Trieste, Italy

    L. Bonora

  2. Sezione di Trieste, INFN, Trieste, Italy

    L. Bonora

  3. Instituto di Física Teórica-UNESP, Rua Pamplona 145, 01405, Sào Paolo, Brasil

    C. P. Constantinidis

  4. International School for Advanced Studies (SISSA/ISAS), Via Beirut 2, 34014, Trieste, Italy

    E. Vinteler

Authors
  1. L. Bonora
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  2. C. P. Constantinidis
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  3. E. Vinteler
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Bonora, L., Constantinidis, C.P. & Vinteler, E. Toda lattice realization of integrable hierarchies. Lett Math Phys 38, 349–363 (1996). https://doi.org/10.1007/BF01815518

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  • DOI: https://doi.org/10.1007/BF01815518

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