Justification of the nonlinear Schrodinger equation in spatially periodic media

    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

    Language

    English

    First Page

    905

    Last Page

    939

    WOS Identifier

    WOS:000241581600001

    ISSN

    0044-2275

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