Dispersionless integrable equations as coisotropic deformations: extensions and reductions

DOI10.1007/s11232-007-0066-4zbMath1142.37043arXivnlin/0608010OpenAlexW3124224788MaRDI QIDQ926753

B. G. Konopelchenko, Franco Magri

Publication date: 20 May 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0608010

zbMATH Keywords

associative algebraintegrable hierarchiesHirota equationscoisotropic deformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (8)

On the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their algebraic properties ⋮ 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 hierarchies and GL(2, ℝ) geometry ⋮ 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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