Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures

DOI10.1007/s00220-018-3176-yzbMath1403.37072arXiv1701.03222OpenAlexW3098483090MaRDI QIDQ1664319

Si-Qi Liu, B. A. Dubrovin, You-Jin Zhang

Publication date: 24 August 2018

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

Full work available at URL: https://arxiv.org/abs/1701.03222

zbMATH Keywords

deformationsintegrable hierarchiescentral invariantsPoisson pencils of hydrodynamic typetau structures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket, Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries, Bihamiltonian cohomologies and integrable hierarchies. I: A special case, Tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy, Poisson pencils: reduction, exactness, and invariants, Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations, Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations, Maurer-Cartan characterizations and cohomologies of compatible Lie algebras, Super tau-covers of bihamiltonian integrable hierarchies, Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras

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