A Note on Fractional KdV Hierarchies
classification
solv-int
nlin.SI
keywords
hierarchydynamicalfractionalhierarchieslaurentseriesarbitrarilybigger
read the original abstract
We introduce a hierarchy of mutually commuting dynamical systems on a finite number of Laurent series. This hierarchy can be seen as a prolongation of the KP hierarchy, or a ``reduction'' in which the space coordinate is identified with an arbitrarily chosen time of a bigger dynamical system. Fractional KdV hierarchies are gotten by means of further reductions, obtained by constraining the Laurent series. The case of sl(3)^2 and its bihamiltonian structure are discussed in detail.
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