Gauge covariant theory of the generating operator. I

DOI10.1007/BF01211165zbMath0611.35082MaRDI QIDQ1087747

A. B. Yanovskij, Vladimir S. Gerdjikov

Publication date: 1986

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

zbMATH Keywords

Zakharov-Shabat systemgenerating operatorgeometrical propertiesgauge covariant formulationgauge-independentHeisenberg ferromagnet-type equationshierarchies of symplectic structuresnonlinear Schrödinger-type equations

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Cites Work

• The generating operator for the n \(\times n\) linear system
• Nonlinear Schrödinger equations and simple Lie algebras
• Closure of the squared Zakharov-Shabat eigenstates
• Evolution equations, singular dispersion relations, and moving eigenvalues
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
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