Local symplectic operators and structures related to them

DOI10.1063/1.529491zbMath0747.58028OpenAlexW2079162675MaRDI QIDQ3991592

Oleg I. Mokhov, I. Ya. Dorfman

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529491

zbMATH Keywords

Bäcklund transformationssymplectic operatorHamiltonian theory

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

Classification of degenerate non-homogeneous Hamiltonian operators ⋮ Hamiltonian structure of Dubrovin’s equation of associativity in 2-d topological field theory ⋮ Homogeneous Hamiltonian operators and the theory of coverings

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Hamiltonian differential operators and contact geometry
• Darboux' theorem for Hamiltonian differential operators
• Canonical variables for the two-dimensional hydrodynamics of an incompressible fluid with vorticity
• The Feynman integral for singular Lagrangians
• Application of hereditary symmetries to nonlinear evolution equations
• Bäcklund transformations for hereditary symmetries
• Almost Periodic Solutions of the KdV Equation
• A simple model of the integrable Hamiltonian equation
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• On the quasi-Hamiltonian formalism of the KdV equation

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