Title

Justification of the nonlinear Schrodinger equation in spatially periodic media

Authors

Authors

K. Busch; G. Schneider; L. Tkeshelashvili;H. Uecker

Comments

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Abbreviated Journal Title

Z. Angew. Math. Phys.

Keywords

nonlinear wave equation; periodic media approximation by NLS; VALIDITY; SYSTEMS; OPTICS; Mathematics, Applied

Abstract

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.

Journal Title

Zeitschrift Fur Angewandte Mathematik Und Physik

Volume

57

Issue/Number

6

Publication Date

1-1-2006

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s00033-006-0057-6

Language

English

First Page

905

Last Page

939

WOS Identifier

WOS:000241581600001

ISSN

0044-2275

Recommended Citation

"Justification of the nonlinear Schrodinger equation in spatially periodic media" (2006). Faculty Bibliography 2000s. 5998.
https://stars.library.ucf.edu/facultybib2000/5998