Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS
D. Levi, Rafael Hernández Heredero · Journal of Nonlinear Mathematical Physics · 2005
In this paper we consider multiple lattices and functions defined on them.We introduce some slow varying conditions and define a multiscale analysis on the lattice, i.e. a way to express the variation of a function in one lattice in terms of an asymptotic expansion with respect to the other.We apply these results to the case of the multiscale expansion of the differential-difference Nonlinear Schrödinger equation.