AN APPROXIMATION PROCEDURE FOR THE ZAKHAROV-SHABAT SCATTERING PROBLEMFOR REAL SINGLE-HUMPED POTENTIALS

Authors
DESAIX M ANDERSON D LISAK M QUIROGATEIXEIRO ML
Citation
M. Desaix et al., AN APPROXIMATION PROCEDURE FOR THE ZAKHAROV-SHABAT SCATTERING PROBLEMFOR REAL SINGLE-HUMPED POTENTIALS, Journal of physics. A, mathematical and general, 29(10), 1996, pp. 2493-2498
Citations number
13
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
10
Year of publication
1996
Pages
2493 - 2498
Database
ISI
SICI code
0305-4470(1996)29:10<2493:AAPFTZ>2.0.ZU;2-H
Abstract
A procedure is presented for finding simple approximations of the disc rete eigenvalues of the Zakharov-Shabat scattering problem correspondi ng to the nonlinear Schrodinger equation. The approximation is in the form of an interpolation formula which combines results for small eige nvalues, obtained by a direct variational approach, and for large eige nvalues, obtained by the Bohr-Sommerfeld quantization rule.