Coisotropic deformations of associative algebras and dispersionless integrable hierarchies

DOI10.1007/s00220-007-0295-2zbMath1136.37038arXivnlin/0606069OpenAlexW3099681656MaRDI QIDQ2472480

Franco Magri, B. G. Konopelchenko

Publication date: 22 February 2008

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

Full work available at URL: https://arxiv.org/abs/nlin/0606069

zbMATH Keywords

integrable equationsdispersionless PDEsstructure constants of associative algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Symplectic geometry, contact geometry (53D99)

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Haantjes manifolds with symmetry ⋮ On the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their algebraic properties ⋮ Bi-Hamiltonian structure of the oriented associativity equation ⋮ The Cauchy problem for the Pavlov equation ⋮ On the deformation theory of structure constants for associative algebras ⋮ Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian ⋮ Dispersionless integrable equations as coisotropic deformations: extensions and reductions ⋮ Menelaus Relation, Hirota–Miwa Equation and Fay's Trisecant Formula are Associativity Equations ⋮ Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy ⋮ Discretization of nonlinear evolution equations over associative function algebras ⋮ Birkhoff Strata of Sato Grassmannian and Algebraic Curves ⋮ Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras ⋮ Dispersionful analog of the Whitham hierarchy

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