A description of Poisson brackets on a space of nonlocal functionals

DOI10.1007/BF01078402zbMath0585.58026OpenAlexW2004025747MaRDI QIDQ1070616

A. O. Radul

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01078402

zbMATH Keywords

Poisson bracketsnonlocal functionalsformally Hamiltonian operators

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential algebra (12H05)

Related Items (1)

Geometric interpretation of the Poisson structure in affine Toda field theories.

Cites Work

• Generalized internal long waves equations: Construction, Hamiltonian structure, and conservation laws
• Modifying Lax equations and the second Hamiltonian structure
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations

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