Concentrating a potential and its scattering transform for a discrete version of the Schrödinger and Zakharov-Shabat operators

DOI10.1016/0167-2789(90)90049-UzbMath0703.58053MaRDI QIDQ916189

F. Alberto Gruenbaum

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorscattering transformZakharov-Shabat

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) (n)-body potential quantum scattering theory (81U10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (1)

Introduction to magnetic resonance imaging for mathematicians.

Cites Work

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• Properties of the scattering map. II
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Inverse scattering on the line
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation

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