The Perturbation Theory Of Toda Lattice

The current research object of the perturbation theory of integrable systems is mainly partial differential equations with correction terms.The perturbation theory based on the inverse scattering transform is extended to discuss the Toda lattice with corrections.The evolution of the associated scattering data are given by some summation representations of the corrections and the eigenfunctions.The perturbation correction of the conservation laws is investigated.The adiabatic approximate solution and its correction are considered.