Title

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

Authors

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

DOI Link

http://dx.doi.org/10.1093/imrn/rnm094

Language

English

First Page

54

WOS Identifier

WOS:000206288300091

ISSN

1073-7928

Recommended Citation

"Semiclassical Focusing Nonlinear Schrodinger Equation I: Inverse scattering map and its evolution for radiative initial data" (2007). Faculty Bibliography 2000s. 7718.
https://stars.library.ucf.edu/facultybib2000/7718