Scholars@Duke
Journal cover image

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

Publication ,  Journal Article
Tovbis, A; Venakides, S; Zhou, X
Published in: International Mathematics Research Notices
December 1, 2007
Published version (DOI)

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.

Duke Scholars

Stephanos Venakides
Author Stephanos Venakides Mathematics
Xin Zhou
Author Xin Zhou Mathematics

Published In

International Mathematics Research Notices

DOI

10.1093/imrn/rnm094

EISSN

1687-0247

ISSN

1073-7928

Publication Date

December 1, 2007

Volume

2007

Related Subject Headings

  • General Mathematics
  • 4902 Mathematical physics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Tovbis, A., Venakides, S., & Zhou, X. (2007). Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data. International Mathematics Research Notices, 2007. https://doi.org/10.1093/imrn/rnm094
Tovbis, A., S. Venakides, and X. Zhou. “Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data.” International Mathematics Research Notices 2007 (December 1, 2007). https://doi.org/10.1093/imrn/rnm094.
Tovbis A, Venakides S, Zhou X. Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data. International Mathematics Research Notices. 2007 Dec 1;2007.
Tovbis, A., et al. “Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data.” International Mathematics Research Notices, vol. 2007, Dec. 2007. Scopus, doi:10.1093/imrn/rnm094.
Tovbis A, Venakides S, Zhou X. Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data. International Mathematics Research Notices. 2007 Dec 1;2007.
Journal cover image

Published In

International Mathematics Research Notices

DOI

10.1093/imrn/rnm094

EISSN

1687-0247

ISSN

1073-7928

Publication Date

December 1, 2007

Volume

2007

Related Subject Headings

  • General Mathematics
  • 4902 Mathematical physics
  • 0101 Pure Mathematics