Algorithms for solving the inverse scattering problem for the Manakov model

DOI10.1134/S0965542524030059zbMATH Open1539.65099MaRDI QIDQ6540290

L. L. Frumin, A. E. Chernyavsky, O. V. Belaĭ

Publication date: 15 May 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

algorithmToeplitz matrixsolitoninverse scattering problemManakov model

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations
• New fast algorithms for systems with Hankel and Toeplitz matrices
• Block Toeplitz Matrix Inversion
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Related Items (1)

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