Published May 21, 1996 | Version v1
Journal article

An approximation procedure for the Zakharov-Shabat scattering problem for real single-humped potentials

  • 1. University of Boras, Department of Engineering Sciences, Boraas (Sweden)
  • 2. Institute for Electromagnetic Field Theory, Chalmers University of Technology, Goeteborg (Sweden)

Description

A procedure is presented for finding simple approximations of the discrete eigenvalues of the Zakharov-Shabat scattering problem corresponding to the nonlinear Schroedinger equation. The approximation is in the form of an interpolation formula which combines results for small eigenvalues, obtained by a direct variational approach, and for large eigenvalues, obtained by the Bohr-Sommerfeld quantization rule. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
29
Journal Issue
10
Journal Page Range
p. 2493-2498
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
Argentina
INIS RN
33007468
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOHR THEORY; EIGENVALUES; QUASI PARTICLES; SCHROEDINGER EQUATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS