Action-angle representation of multisolitons

AbstractFor a class of completely integrable, finite dimensional multi-soliton systems the full set of action /angle variables is constructed. The main tools are the well known symmetries and mastersymmetries of the corresponding hamiltonian soliton equation and the spectral properties of the recursion operator. The relationship between these quantities and the action/angle representation is expressed in terms of the asymptotic data provided by the Inverse Scattering Method. As one important interim result we obtain the embedding of the solution manifold of multi-solitons into the complete solution space. Furthermore, we are able to obtain the eigenstates of the recursion operator in an extremely simple way