摘 要: |
An essential ingredient of PLG theory and its applications to integrable system is the notion of a Poisson action. It was necessary to introduce such a generalization of Hamiltonian actions in order to account for the properties of dressing transformations, under the hidden symmetry group, of fields satisfying zero-curvature equation. There is a notion of momentum mapping for Poisson actions, and in a special case it coincides with the monodromy matrix of the linear system. |