On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation
Journal Article (Journal Article)
We calculate the leading-order term of the solution of the focusing nonlinear (cubic) Schrödinger equation (NLS) in the semiclassical limit for a certain one-parameter family of initial conditions. This family contains both solitons and pure radiation. In the pure radiation case, our result is valid for all times t ≥ 0. We utilize the Riemann-Hilbert problem formulation of the inverse scattering problem to obtain the leading-order term of the solution. Error estimates are provided. © 2004 Wiley Periodicals, Inc.
Full Text
Duke Authors
Cited Authors
- Tovbis, A; Venakides, S; Zhou, X
Published Date
- July 1, 2004
Published In
Volume / Issue
- 57 / 7
Start / End Page
- 877 - 985
International Standard Serial Number (ISSN)
- 0010-3640
Digital Object Identifier (DOI)
- 10.1002/cpa.20024
Citation Source
- Scopus