Block Toeplitz inner-bordering method for the Gelfand-Levitan-Marchenko equations associated with the Zakharov-Shabat system

DOI10.1515/JIIP-2022-0072OpenAlexW4319311916MaRDI QIDQ2697765

Yanyan Li

Publication date: 13 April 2023

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2022-0072

zbMATH Keywords

inverse scattering transformnonlinear Schrödinger equationnonlinear Fourier transformGelfand-Levitan-Marchenko equationToeplitz inner-bordering method

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30) Numerical methods for inverse problems for integral equations (65R32)

Uses Software

• TOEPLITZ

Cites Work

• Unnamed Item
• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• A numerical solution to the Gel'fand-Levitan-Marchenko equation
• Linear and Nonlinear Frequency-Division Multiplexing
• An efficient algorithm for solving Zakharov-Shabat inverse scattering problem
• Coherent Dynamics of Complex Quantum Systems

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