The Periodic Fixed Points of Bäcklund Transformations
The periodic fixed points of the Bäcklund transformations are finite dimensional invariant manifolds for the flow of the system. The dynamics occur as commuting hamiltonian flows on this finite dimensional manifold. We examine the flow of the KdV periodic fixed points in the neighborhood of steady states and reductions. These are analogous to a flow in the neighborhood of a sequence of heteroclinic points.
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