Compatible poisson structures and the virasoro algebra

DOI10.1002/cpa.3160470103zbMath0801.58014OpenAlexW2109023013WikidataQ126265699 ScholiaQ126265699MaRDI QIDQ4291711

Mark Adler, Pierre van Moerbeke

Publication date: 2 June 1994

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160470103

zbMATH Keywords

Virasoro algebratotally integrable systemscompatible symplectic structures

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

The higher order Hamiltonian structures for the modified classical Yang-Baxter equation ⋮ Exact Poisson pencils, \(\tau \)-structures and topological hierarchies ⋮ The second Hamiltonian structure for the periodic Toda lattice ⋮ Geometric interpretation of the Poisson structure in affine Toda field theories. ⋮ Some kernels on a riemann surface ⋮ The spectrum for solutions of the modified classical Yang-Baxter equation and algebraic groups.

Cites Work

• ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION
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