Direct and inverse scattering problems for a first-order system with energy-dependent potentials

DOI10.1088/1361-6420/ab2070zbMath1472.34150arXiv1812.05303OpenAlexW2905009533MaRDI QIDQ5228012

Tuncay Aktosun, Unnamed Author

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1812.05303

zbMATH Keywords

energy-dependent potentialsalternate Marchenko systeminverse scattering for first-order systems

Mathematics Subject Classification ID

Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (3)

Direct and inverse scattering problems for the first‐order discrete system associated with the derivative NLS system ⋮ The Marchenko method to solve the general system of derivative nonlinear Schrödinger equations ⋮ The Generalized Marchenko Method in the Inverse Scattering Problem for a First-Order Linear System with Energy-Dependent Potentials

Cites Work

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• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Wave scattering in one dimension with absorption
• New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems
• Exact solutions to the focusing nonlinear Schrödinger equation

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