Compatibility conditions for Hamiltonian pairs

DOI10.1063/1.529053zbMath0747.58037OpenAlexW1991823808MaRDI QIDQ3987404

David B. Cooke

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529053

zbMATH Keywords

evolution equationsHamiltonian pairsbi-Hamiltonian systems

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)

Related Items

On classification of Poisson vertex algebras ⋮ Variational Operators, Symplectic Operators, and the Cohomology of Scalar Evolution Equations

Cites Work

• Hamiltonian differential operators and contact geometry
• Darboux' theorem for Hamiltonian differential operators
• Hamiltonian operators and algebraic structures related to them
• Hamiltonian structures for systems of hyperbolic conservation laws
• Classification results and the Darboux theorem for low-order Hamiltonian operators
• A simple model of the integrable Hamiltonian equation