On the integrability of stationary and restricted flows of the KdV hierarchy.

Details On the integrability of stationary and restricted flows of the KdV hierarchy. On the integrability of stationary and restricted flows of the KdV hierarchy.

1995-07-22

arxiv.org/abs/solv-int/9507004v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages, AMS-LATEX 2.09, no figures, to be published in J. Phys. A: Math. Gen..

Scientific paper

10.1088/0305-4470/28/17/034

A bi--Hamiltonian formulation for stationary flows of the KdV hierarchy is derived in an extended phase space. A map between stationary flows and restricted flows is constructed: in a case it connects an integrable Henon--Heiles system and the Garnier system. Moreover a new integrability scheme for Hamiltonian systems is proposed, holding in the standard phase space.

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