Inverse spectral theory for the AKNS system with separated boundary conditions

DOI10.1088/0266-5611/9/5/001zbMath0783.34061OpenAlexW2008472385MaRDI QIDQ4274417

Laurent Amour

Publication date: 6 January 1994

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/9/5/001

zbMATH Keywords

inverse spectral theoryisospectral setsAKNS systems with separated selfadjoint boundary conditions

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (6)

Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators ⋮ Almost periodicity for the nonlinear cubic Schrödinger equation ⋮ Isospectral sets for AKNS systems on the unit interval with generalized periodic boundary conditions ⋮ The coordinate system \(\mu\times\kappa\) on \(L^2([0,1)\times L^2([0,1])\) for the AKNS operator] ⋮ Analyticity and uniform stability in the inverse spectral problem for Dirac operators ⋮ Explicit isospectral flows associated to the <scp>AKNS</scp> operator on the unit interval. II

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