Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems

DOI10.1007/BF01083176zbMath0521.58031WikidataQ115394232 ScholiaQ115394232MaRDI QIDQ1055061

A. T. Fomenko, Valerij V. Trofimov

Publication date: 1983

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

coadjoint representationmultidimensional rigid bodyorbital invariantssectional operators

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (9)

Finite-dimensional integrable systems: a collection of research problems ⋮ Argument shift method and sectional operators: applications to differential geometry ⋮ Some classes of integrable problems in spatial dynamics of a rigid body in a nonconservative force field ⋮ Unnamed Item ⋮ Integrable systems on the tangent bundle of a multi-dimensional sphere ⋮ Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems ⋮ V. V. Trofimov's legacy in Lie theory ⋮ Vector fields and functions on discriminants of complete intersections and on bifurcation diagrams of projections ⋮ Singularities of projections of full intersections

Cites Work

• p-adic analog of the Kazhdan-Lusztig hypothesis
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Generalized Liouville method of integration of Hamiltonian systems
• INTEGRABILITY OF THE EULER EQUATIONS ON HOMOGENEOUS SYMPLECTIC MANIFOLDS
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