Dispersionless integrable systems and the Bogomolny equations on an Einstein-Weyl geometry background

DOI10.1134/S0040577920100037zbMath1453.81047arXiv2005.09906OpenAlexW3028406113MaRDI QIDQ2215166

L. V. Bogdanov

Publication date: 11 December 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09906

zbMATH Keywords

Einstein-Weyl geometryBogomolny equationsYang-Mills-Higgs equationsdispersionless integrable system

Mathematics Subject Classification ID

Unified quantum theories (81V22) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (1)

Matrix extension of multidimensional dispersionless integrable hierarchies

Cites Work

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• Non-Hamiltonian generalizations of the dispersionless 2DTL hierarchy
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• Self-duality in four-dimensional Riemannian geometry
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