Hamiltonian systems on fibered manifolds

DOI10.1007/BF00420703zbMath0468.58009OpenAlexW21093541MaRDI QIDQ1156413

Yvette Kosmann-Schwarzbach

Publication date: 1981

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00420703

zbMATH Keywords

Hamiltonian structurenonlinear partial differential equationsPoisson manifoldsinfinite-dimensional Hamiltonian systemsGel'fand-Dikii bracket for polynomial differential operators on functions of one variablePoisson bracket of two functionalsPoisson bracket of two Hamiltoniansscalar differential operator on a fibered manifold

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) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Constrained Hamiltonian systems and gauge theories ⋮ Constraint field systems in multimomentum canonical variables ⋮ Recursion and Hamiltonian operators for integrable nonabelian difference equations

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