Journal article
Asymptotic behavior of the self-defocusing nonlinear Schrödinger equation for piecewise constant initial conditions
Journal of the Optical Society of America. B, Optical physics, Vol.12(4), pp.698-703
04/01/1995
DOI: 10.1364/JOSAB.12.000698
Abstract
In this paper we use a transfer matrix method to calculate the asymptotic behavior of the nonlinear Schrödinger (NLS) equation in a self-defocusing medium for piecewise constant initial conditions. Treating initial conditions that consist of m repeated regions, we show that the eigenvalues associated with this problem appear in bands, and, as m tends to infinity, we obtain the eigenvalue density of states for these bands. Comparing results from the transfer matrix approach to the results for a Bloch function method, we show that the edges of a region with periodic initial conditions result in a finite number of additional eigenvalues that appear outside the bands.
Details
- Title: Subtitle
- Asymptotic behavior of the self-defocusing nonlinear Schrödinger equation for piecewise constant initial conditions
- Creators
- Paul B LundquistDavid R AndersenGrover A Swartzlander Jr
- Resource Type
- Journal article
- Publication Details
- Journal of the Optical Society of America. B, Optical physics, Vol.12(4), pp.698-703
- DOI
- 10.1364/JOSAB.12.000698
- ISSN
- 0740-3224
- eISSN
- 1520-8540
- Language
- English
- Date published
- 04/01/1995
- Academic Unit
- Physics and Astronomy; Electrical and Computer Engineering
- Record Identifier
- 9984083858302771
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