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Inverse scattering for an AKNS problem with rational reflection coefficients

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Publication:5459011
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DOI10.1088/0266-5611/24/2/025015zbMath1154.35474OpenAlexW2024918465MaRDI QIDQ5459011

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Publication date: 24 April 2008

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

Full work available at URL: https://doi.org/10.1088/0266-5611/24/2/025015


zbMATH Keywords

inverse scattering problemMarchenko integral equationsAblowitz-Kaup-Newell-Segur problem


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)


Related Items (4)

Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions ⋮ Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy ⋮ Exact solution of the Zakharov-Shabat scattering problem for doubly-truncated multisoliton potentials ⋮ Nonlinear Fourier transform of time-limited and one-sided signals







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