The problem of the principal chiral field with the parameters depending on free arguments and its integration

DOI10.1007/BF00047087zbMath0763.58011MaRDI QIDQ1200454

B. N. Aliev, A. N. Leznov

Publication date: 16 January 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

groupsdifferential equationsconnectionsYang-Mills equations

Mathematics Subject Classification ID

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

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• Exactly and completely integrable nonlinear dynamical systems
• Proof of a Geroch conjecture

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