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

被引：2

作者：

Desaix, M ^{[1
]}

Anderson, D ^{[1
]}

Lisak, M ^{[1
]}

QuirogaTeixeiro, ML ^{[1
]}

机构：

[1] UNIV BORAS,DEPT ENGN SCI,S-50115 BORAS,SWEDEN

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 10期

关键词：

D O I：

10.1088/0305-4470/29/10/027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A procedure is presented for finding simple approximations of the discrete eigenvalues of the Zakharov-Shabat scattering problem corresponding to the nonlinear Schrodinger 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.

引用

页码：2493 / 2498

页数：6

共 13 条

[1]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[2] COMPUTATION OF THE DIRECT SCATTERING TRANSFORM FOR THE NONLINEAR SCHROEDINGER EQUATION [J].