Eigenvalue asymptotics for Zakharov-Shabat systems with long-range potentials

DOI10.7153/oam-2018-12-05zbMath1394.34182OpenAlexW2789672021WikidataQ130159053 ScholiaQ130159053MaRDI QIDQ4565199

Martin Klaus

Publication date: 8 June 2018

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2018-12-05

zbMATH Keywords

eigenvalue asymptoticsfocusing nonlinear Schrödinger equationlong-range potentialsZakharov-Shabat systems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Semiclassical WKB problem for the non-self-adjoint Dirac operator with analytic potential

Cites Work

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• Spectral analysis of Darboux transformations for the focusing NLS hierarchy
• Mathematical Principles of Optical Fiber Communications
• Coupling constant behavior of eigenvalues of Zakharov-Shabat systems
• On the Eigenvalues of Zakharov--Shabat Systems

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