Poisson structures and integrable systems connected with graphs

DOI10.1007/BF02364991zbMath0899.58021MaRDI QIDQ1375238

A. L. Pirozerskiĭ

Publication date: 8 June 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

evolution equationsphase spacePoisson bracketsloop groupscompletely integrable systemsintegrals of motionLax operator\(r\)-matrix methodgraphs of special typespace of graph connections

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Unnamed Item
• Flat connections and polyubles
• The Toda lattice. II. Existence of integrals
• Dressing transformations and Poisson group actions

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