Direct scattering of AKNS systems with \(L^2\) potentials

DOI10.3934/proc.2015.1089zbMath1354.37070OpenAlexW2324238724MaRDI QIDQ260967

Cornelis V. M. van der Mee

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.1089

zbMATH Keywords

AKNS systemcharacterization of scattering data

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (1)

Nonlinearly bandlimited signals

Cites Work

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• Characterization of scattering data for the AKNS system
• Scattering operators for matrix Zakharov-Shabat systems
• Solvability of the direct and inverse problems for the nonlinear Schrödinger equation
• Operator methods for inverse scattering on the real line
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Time-evolution-proof Scattering Data for the Focusing and Defocusing Zakharov-Shabat Systems
• Wave operators for the matrix Zakharov–Shabat system

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