Differential-geometric structures in the theory of two-dimensional integrable equations

DOI10.1007/BF01097497zbMath0783.53054OpenAlexW1978246675WikidataQ115394084 ScholiaQ115394084MaRDI QIDQ1180111

Vladimir Mikhalev

Publication date: 27 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01097497

zbMATH Keywords

gauge transformationHopf fibrationDavey-Stewartson equationIshimori equation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Applications of differential geometry to physics (53Z05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Cites Work

• Integration of the nonlinear two-dimensional spatial Schrödinger equation by the inverse-problem method
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation

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