Justification of the nonlinear Schrodinger equation in spatially periodic media
Abbreviated Journal Title
Z. Angew. Math. Phys.
nonlinear wave equation; periodic media approximation by NLS; VALIDITY; SYSTEMS; OPTICS; Mathematics, Applied
The dynamics of the envelopes of spatially and temporarily oscillating wave packets advancing in spatially periodic media can approximately be described by solutions of a Nonlinear Schrodinger equation. Here we prove estimates for the error made by this formal approximation using Bloch wave analysis, normal form transformations, and Gronwall's inequality.
Zeitschrift Fur Angewandte Mathematik Und Physik
"Justification of the nonlinear Schrodinger equation in spatially periodic media" (2006). Faculty Bibliography 2000s. 5998.