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Darboux’s Theorem, Lie series and the standardization of the Salerno and Ablowitz–Ladik models
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 Hamiltonian models with non-standard symplectic structures. We take as a guiding example the Salerno and Ablowitz–Ladik (AL)
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