scientific article

zbMATH Open0547.58024MaRDI QIDQ3338989

Valerij V. Trofimov

Publication date: 1983

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zbMATH Keywords

Lie algebrasEuler's equationscompletely integrable Hamiltonian systemssectional operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie algebras and Lie superalgebras (17B99)

Related Items (7)

Lie algebraic approach to Fer's expansion for classical Hamiltonian systems ⋮ On Extensions, Lie-Poisson Systems, and Dissipations ⋮ Special quasigraded Lie algebras and integrable Hamiltonian systems ⋮ Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems ⋮ Lie-Hamilton systems on the plane: properties, classification and applications ⋮ V. V. Trofimov's legacy in Lie theory ⋮ Non-negative extensions of Hamiltonian systems

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