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 Schrodinger equation.
Levi, D., Petrera, M., Scimiterna, C. (2009). Multiscale reduction of discrete nonlinear Schrodinger equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 42(45) [10.1088/1751-8113/42/45/454011].
Multiscale reduction of discrete nonlinear Schrodinger equations
LEVI, Decio;
2009-01-01
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 Schrodinger equation.File in questo prodotto:
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