Multiscale reduction of discrete nonlinear Schroedinger equations
arXiv:0903.3418 · doi:10.1088/1751-8113/42/45/454011
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.
12 pages
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