INVERSE SCATTERING PROBLEM FOR DIRAC-TYPE SYSTEMS WITH A SELF-ADJOINT POTENTIAL

被引：0

作者：

Ismailov, Mansur I. ^{[1
]}

机构：

[1] Gebze Inst Technol, Dept Math, TR-41400 Gebze, Turkey

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2014年 / 40卷

关键词：

inverse scattering problem; Dirac-type systems; self-adjoint potential;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonstationary approach to scattering problem for Dirac type systems with a self-adjoint potential on the whole axis is considered. The uniqueness of the solution of the inverse scattering problem is proved and some of its possibly applications are pointed.

引用

页码：226 / 232

页数：7

共 15 条

[1] Direct and inverse scattering for selfadjoint Hamiltonian systems on the line [J].

Aktosun, T ;

Klaus, M ;

van der Mee, C .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2000, 38 (02) :129-171

[2]

Albeverio S, 2005, RUSS J MATH PHYS, V12, P406

[3] Scattering Operators for Matrix Zakharov-Shabat Systems [J].

Demontis, Francesco ;

van der Mee, Cornelis .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 62 (04) :517-540

[4]

Frolov I. S., 1972, SOV MATH DOKL, V13, P1768

[5]

Gasymov M. G, 1968, T MOSCOW MATH SOC, V19, P41

[6]

GASYMOV MG, 1966, DOKL AKAD NAUK SSSR+, V167, P967

[7]

Ismailov M. I., 2002, T NAS AZERBAIJAN, V22, P139

[8] Inverse nonstationary scattering for the linear system of the 3-wave interaction problem in the case of two incident waves with the same velocity [J].

Ismailov, Mansur I. .

WAVE MOTION, 2010, 47 (04) :205-216

[9] Inverse scattering problem for nonstationary Dirac-type systems on the plane [J].

Ismailov, Mansur I. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (02) :498-509

[10]

KREIN MG, 1983, OPERATOR THEORY ADV, V7

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