A Note on Fractional KdV Hierarchies

Details A Note on Fractional KdV Hierarchies A Note on Fractional KdV Hierarchies

1996-07-04

arxiv.org/abs/solv-int/9606010v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Final version to appear in J. Math. Phys. Some changes in the order of presentation, with more emphasis on the geometrical pic

Scientific paper

10.1063/1.532110

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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