Nonlocal Hamiltonian operators of hydrodynamic type with flat metrics, integrable hierarchies, and the associativity equations

DOI10.1007/s10688-006-0002-7zbMath1106.37047OpenAlexW2029336469MaRDI QIDQ2498304

Oleg I. Mokhov

Publication date: 16 August 2006

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

Full work available at URL: https://doi.org/10.1007/s10688-006-0002-7

zbMATH Keywords

integrable hierarchiesflat metricsnonlocal Hamiltonian operator

Mathematics Subject Classification ID

Related Items (9)

On the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their algebraic properties ⋮ Recursion operators and tri-Hamiltonian structure of the first heavenly equation of Plebański ⋮ Recursion operators and bi-Hamiltonian structure of the general heavenly equation ⋮ Realization of Frobenius manifolds as submanifolds in pseudo-Euclidean spaces ⋮ Compatible metrics and the diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type ⋮ Pencils of compatible metrics and integrable systems ⋮ Theory of submanifolds, associativity equations in 2D topological quantum field theories, and Frobenius manifolds ⋮ Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type ⋮ A splitting theorem for higher order parallel immersions

Cites Work

• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
• A simple model of the integrable Hamiltonian equation
• On the local systems Hamiltonian in the weakly non-local Poisson brackets
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