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arXiv · 1701.03222

Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures

Boris Dubrovin·Si-Qi Liu·Youjin Zhang
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Abstract

Starting from a so-called flat exact semisimple bihamiltonian structures 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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Boris Dubrovin, Si-Qi Liu, Youjin Zhang. 2017-01-12. Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures. https://doi.org/10.1007/s00220-018-3176-y

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