Semiclassical Focusing Nonlinear Schrodinger Equation I: Inverse scattering map and its evolution for radiative initial data

    Authors

    A. Tovbis; S. Venakides;X. Zhou

    Comments

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    Abbreviated Journal Title

    Int. Math. Res. Notices

    Keywords

    DISPERSION LIMIT SOLUTIONS; ASYMPTOTICS; Mathematics

    Abstract

    We consider the semiclassical limit for the focusing nonlinear (cubic) Schrodinger Equation (NLS) in the pure radiational case. We present a method of reconstructing the leading order terms of the solitonless initial data and of its evolution for a wide class of the corresponding reflection coefficients.

    Journal Title

    International Mathematics Research Notices

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    54

    WOS Identifier

    WOS:000206288300091

    ISSN

    1073-7928

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