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 Schrodinger equation.
Levi, D., Heredero, R.h. (2005). Multiscale analysis of discrete nonlinear evolution equations: The reduction of the dNLS. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 12, 440-448 [10.2991/jnmp.2005.12.s1.36].
Multiscale analysis of discrete nonlinear evolution equations: The reduction of the dNLS
LEVI, Decio;
2005-01-01
Abstract
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 Schrodinger equation.File in questo prodotto:
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