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

G. Tondo
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Abstract

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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G. Tondo. 1995-07-22. On the integrability of stationary and restricted flows of the KdV hierarchy.. https://doi.org/10.1088/0305-4470%2F28%2F17%2F034

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