Darboux's Theorem, Lie series and the standardization of the Salerno and Ablowitz-Ladik models

Marco Calabrese, Simone Paleari, Tiziano Penati

In the framework of nonlinear Hamiltonian lattices, we revisit the proof of Moser-Darboux's Theorem, in order to present a general scheme for its constructive applicability to Hami…