Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data

Journal Article (Journal Article)

We consider the semiclassical limit for the focusing nonlinear (cubic) Schrödinger 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. © The Author 2007.

Full Text

Duke Authors

Cited Authors

  • Tovbis, A; Venakides, S; Zhou, X

Published Date

  • December 1, 2007

Published In

Volume / Issue

  • 2007 /

Electronic International Standard Serial Number (EISSN)

  • 1687-0247

International Standard Serial Number (ISSN)

  • 1073-7928

Digital Object Identifier (DOI)

  • 10.1093/imrn/rnm094

Citation Source

  • Scopus