Special Session 190: Amplitude equations for continuous, discrete, non-local, and stochastic nonlinear dispersive and dissipative dynamical systems
On the closeness of the dynamics for some nonlinear lattices
Simone Paleari
Universit\\`{a} di Milano Italy
Co-Author(s): Tiziano Penati, Marco Calabrese
Abstract:
We study the closeness between the Ablowitz-Ladik, Salerno, and discrete nonlinear Schroedinger lattices in regimes of small coupling $\epsilon$ and small energy norm $\rho$. Two approaches are compared: direct estimates in physical variables and a transformation to canonical symplectic coordinates via Darboux variables.