On bi-Hamiltonian deformations of exact pencils of hydrodynamic type

DOI10.1088/1751-8113/44/22/225205zbMath1317.37066arXiv1101.0167OpenAlexW3104545454MaRDI QIDQ3008804

Paolo Lorenzoni, Alessandro Arsie

Publication date: 22 June 2011

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

Full work available at URL: https://arxiv.org/abs/1101.0167

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (6)

On deformations of one-dimensional Poisson structures of hydrodynamic type with degenerate metric ⋮ Bihamiltonian cohomology of KdV brackets ⋮ The bi-Hamiltonian cohomology of a scalar Poisson pencil ⋮ Bihamiltonian cohomologies and integrable hierarchies. I: A special case ⋮ Exact Poisson pencils, \(\tau \)-structures and topological hierarchies ⋮ Inherited structures in deformations of Poisson pencils

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