Hamiltonian differential operators and contact geometry

DOI10.1007/BF02577136zbMath0635.58006WikidataQ115391959 ScholiaQ115391959MaRDI QIDQ1097558

Oleg I. Mokhov

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationsclassification under contact transformationsHamiltonian differential operators

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) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

Classification results and the Darboux theorem for low-order Hamiltonian operators ⋮ Compatibility conditions for Hamiltonian pairs ⋮ Local symplectic operators and structures related to them ⋮ Pencils of compatible metrics and integrable systems ⋮ Projective-geometric aspects of bi-Hamiltonian structures of KdV type ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Computing with Hamiltonian operators ⋮ Projective-geometric aspects of homogeneous third-order Hamiltonian operators

Cites Work

• Modifying Lax equations and the second Hamiltonian structure
• Local third-order Poisson brackets
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Almost Periodic Solutions of the KdV Equation
• A simple model of the integrable Hamiltonian equation
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