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Classification results and the Darboux theorem for low-order Hamiltonian operators

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Publication:3977826
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DOI10.1063/1.529133zbMath0850.70192OpenAlexW1992915138MaRDI QIDQ3977826

David B. Cooke

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529133



Mathematics Subject Classification ID

Lagrange's equations (70H03)


Related Items (5)

Compatibility conditions for Hamiltonian pairs ⋮ On Hamiltonian formulations of the \(\mathcal{C}_1(m, a, b)\) equations ⋮ On classification of Poisson vertex algebras ⋮ Compactons ⋮ Differential geometric Poisson bivectors in one space variable



Cites Work

  • On the structure of Hamiltonian operators in field theory
  • 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
  • Dirac’s theory of constraints in field theory and the canonical form of Hamiltonian differential operators
  • On the Hamiltonian structure of evolution equations
  • A simple model of the integrable Hamiltonian equation


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