Liouville integrability of perturbation systems of finite-dimensional integrable Hamiltonian systems

摘要

It is shown that to any order, the perturbation systems of finite-dimensional integrable Hamiltonian systems are still integrable. As an application, we obtain a new integrable Hamiltonian system from the restricted AKNS flow. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 12]