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A Note on Fractional KdV Hierarchies

Paolo Casati·Gregorio Falqui·Franco Magri·Marco Pedroni
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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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Paolo Casati, Gregorio Falqui, Franco Magri, Marco Pedroni. 1997-06-11. A Note on Fractional KdV Hierarchies. https://doi.org/10.1063/1.532110

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