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Toda lattice realization of integrable hierarchies

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Kluwer Academic Publ
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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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English

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Letters In Mathematical Physics. Dordrecht: Kluwer Academic Publ, v. 38, n. 4, p. 349-363, 1996.

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São Paulo, Instituto de Física Teórica - IFT
IFT
Campus: São Paulo

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