Toda lattice realization of integrable hierarchies

Details Toda lattice realization of integrable hierarchies Toda lattice realization of integrable hierarchies

1995-11-23

arxiv.org/abs/hep-th/9511172v2

Lett.Math.Phys. 38 (1996) 349-363

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex (minor changes, to appear in Lett.Math.Phys.)

Scientific paper

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 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.

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