Inverse scattering on the half-line for generalized ZS-AKNS system with general boundary conditions

İSMAİLOV, MANSUR; YILMAZ, BÜLENT

doi:10.1080/14029251.2019.1544796

Inverse scattering on the half-line for generalized ZS-AKNS system with general boundary conditions

Atıf İçin Kopyala

İSMAİLOV M., YILMAZ B.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, cilt.26, sa.1, ss.155-167, 2019 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 26 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.1080/14029251.2019.1544796
Dergi Adı: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.155-167
Marmara Üniversitesi Adresli: Evet

Özet

The inverse scattering problem for a first order system of three equations on the half-line with nonsingular diagonal matrix multiplying the derivative and general boundary conditions is considered. It is focused the case of two repeated diagonal elements of diagonal matrix. The scattering matrix on the half line is defined and a unique restoration of the potential from the scattering matrix is proved. The possible application to integration of integro-differential four-wave interaction problem is also focused.