Toda lattice realization of integrable hierarchies
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Kluwer Academic Publ
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Springer Nature
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Article
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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
Citation
Letters In Mathematical Physics. Dordrecht: Kluwer Academic Publ, v. 38, n. 4, p. 349-363, 1996.





