Inverse scattering theory for systems of the Zakharov–Shabat type

DOI10.1063/1.525888zbMath0566.35088OpenAlexW2025583069MaRDI QIDQ3681267

Helena M. A. de Castro, Walter F. Wreszinski

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525888

zbMATH Keywords

Existencenonlinear evolution equationsunicityinverse scattering methodMarchenko integral equationsZakharov-Shabat systemsqualitative spectral analysis

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

The isospectral property for a family of non-self-adjoint operators

Cites Work

• Non-self-adjoint Zakharov–Shabat operator with a potential of the finite asymptotic values. I. Direct spectral and scattering problems
• Inverse scattering on the line
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Generalised Marchenko Equation and the Canonical Structure of the A.K.N.S.-Z.S. Inverse Method
• Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation

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