Gauge equivalence of sigma models with non-compact Grassmannian manifolds

DOI10.1088/0305-4470/19/8/012zbMath0654.35084OpenAlexW2050692999MaRDI QIDQ3800463

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1088/0305-4470/19/8/012

zbMATH Keywords

Lie algebraLie groupintegrability conditioncompatibility conditionLandau-Lifshitz equationmatrix nonlinear Schrödinger equationfield theorieslocal gauge transformationgauge equivalentnonlinear \(\sigma\)-modeldependence on \(\lambda \)sine-sinh-Gordon equation

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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