Multiscale reduction of discrete nonlinear Schroedinger equations
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
We use a discrete multiscale analysis to study the asymptotic integrability of differential-difference equations. In particular, we show that multiscale perturbation techniques provide an analytic tool to derive necessary integrability conditions for two well-known discretizations of the nonlinear Schroedinger equation.
Cite
@article{arxiv.0903.3418,
title = {Multiscale reduction of discrete nonlinear Schroedinger equations},
author = {D. Levi and M. Petrera and C. Scimiterna},
journal= {arXiv preprint arXiv:0903.3418},
year = {2015}
}
Comments
12 pages