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Communications in Mathematical Physics

, Volume 361, Issue 2, pp 467–524 | Cite as

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

  • Boris Dubrovin
  • Si-Qi Liu
  • Youjin Zhang
Article
  • 71 Downloads

Abstract

Starting from a so-called flat exact semisimple bihamiltonian structure of hydrodynamic type, we arrive at a Frobenius manifold structure and a tau structure for the associated principal hierarchy. We then classify the deformations of the principal hierarchy which possess tau structures.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.SISSATriesteItaly
  2. 2.Department of Mathematical SciencesTsinghua UniversityBeijingPeople’s Republic of China

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