Displaying similar documents to “On the theory of phases of academican O. Borůvka”

Fibration of the phase space for the Korteweg-de Vries equation

Thomas Kappeler (1991)

Annales de l'institut Fourier

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In this article we prove that the fibration of L 2 ( S 1 ) by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to N -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.