High-order block Toeplitz inner-bordering method for solving the Gelfand-Levitan-Marchenko equation

DOI10.1016/j.cnsns.2024.108255zbMath1545.35184MaRDI QIDQ6591014

S. B. Medvedev, M. P. Fedoruk, I. A. Vaseva

Publication date: 21 August 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

inverse scattering transformnonlinear Fourier transformGelfand-Levitan-Marchenko equationGregory quadrature formulasWoodbury formulaToeplitz inner-bordering method

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical integration (65D30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Toeplitz, Cauchy, and related matrices (15B05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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