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Some evolution hierarchies derived from self-dual Yang-Mills equations. (English) Zbl 1247.37075


MSC:

37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
22E67 Loop groups and related constructions, group-theoretic treatment
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