Title
Semiclassical Focusing Nonlinear Schrödinger Equation I: Inverse Scattering Map And Its Evolution For Radiative Initial Data
Abstract
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.
Publication Date
12-1-2007
Publication Title
International Mathematics Research Notices
Volume
2007
Number of Pages
-
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1093/imrn/rnm094
Copyright Status
Unknown
Socpus ID
77952811792 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/77952811792
STARS Citation
Tovbis, Alexander; Venakides, Stephanos; and Zhou, Xin, "Semiclassical Focusing Nonlinear Schrödinger Equation I: Inverse Scattering Map And Its Evolution For Radiative Initial Data" (2007). Scopus Export 2000s. 5812.
https://stars.library.ucf.edu/scopus2000/5812