INVERSE SCATTERING ON THE LINE FOR A DIRAC SYSTEM

被引：33

作者：

HINTON, DB

JORDAN, AK

KLAUS, M

SHAW, JK

机构：

[1] USN,RES LAB,CTR ADV SPACE SENSING,WASHINGTON,DC 20375

[2] VIRGINIA TECH,DEPT MATH,BLACKSBURG,VA 24061

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 11期

关键词：

D O I：

10.1063/1.529046

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The whole-line version of the Gelfand-Levitan-Marchenko (GLM) equation for a Dirac system is studied. A new derivation of the GLM equation is given, under weaker hypotheses than Frolov's earlier treatment [Sov. Math. Dok1. 13, 1468 (1972)], and the complete inversion is carried out in some explicit cases in which a spectral gap is present. Previous calculations of this type are restricted either to a scalar potential or degenerate gap. Applications are discussed in connection with optical couplers and soliton equations.

引用

页码：3015 / 3030

页数：16

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