Marchenko Equations and Norming Constants of the Matrix Zakharov-Shabat System

DOI10.7153/oam-02-05zbMath1209.34013OpenAlexW2063345045MaRDI QIDQ3512698

Francesco Demontis, Cornelis V. M. van der Mee

Publication date: 21 July 2008

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-02-05

zbMATH Keywords

inverse scatteringMarchenko equationnorming constantsmatrix Zakharov-Shabat system

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (8)

Inverse scattering on the half-line for ZS-AKNS systems with integrable potentials ⋮ A matrix Schrödinger approach to focusing nonlinear Schrödinger equations with nonvanishing boundary conditions ⋮ Characterization of scattering data for the AKNS system ⋮ Integration of the matrix modified Korteweg-de Vries equation with an integral-type source ⋮ From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems ⋮ Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions ⋮ Reflectionless solutions for square matrix NLS with vanishing boundary conditions ⋮ Exact solutions of the Hirota equation and vortex filaments motion

This page was built for publication: Marchenko Equations and Norming Constants of the Matrix Zakharov-Shabat System