Toda lattice realization of integrable hierarchies
- Cite this article as:
- Bonora, L., Constantinidis, C.P. & Vinteler, E. Lett Math Phys (1996) 38: 349. doi:10.1007/BF01815518
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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.