Title
Semiclassical Limit Of The Focusing Nls: Whitham Equations And The Riemann–Hilbert Problem Approach
Keywords
Riemann–Hilbert Problem approach; Semiclassical limit of the focusing NLS; Whitham equations
Abstract
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated N-phase nonlinear wave solutions to the focusing nonlinear Schrödinger (fNLS) equation, and b) the Riemann–Hilbert Problem approach to particular solutions of the fNLS in the semiclassical (small dispersion) limit that develop slowly modulated N-phase nonlinear wave in the process of evolution. Both approaches have their own merits and limitations. Understanding of the interrelations between them could prove beneficial for a broad range of problems involving the semiclassical fNLS.
Publication Date
10-15-2016
Publication Title
Physica D: Nonlinear Phenomena
Volume
333
Number of Pages
171-184
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.physd.2016.03.009
Copyright Status
Unknown
Socpus ID
84964329941 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84964329941
STARS Citation
Tovbis, Alexander and El, Gennady A., "Semiclassical Limit Of The Focusing Nls: Whitham Equations And The Riemann–Hilbert Problem Approach" (2016). Scopus Export 2015-2019. 2769.
https://stars.library.ucf.edu/scopus2015/2769