Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures
Differential Geometry
2018-08-01 v1 Exactly Solvable and Integrable Systems
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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Cite
@article{arxiv.1701.03222,
title = {Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures},
author = {Boris Dubrovin and Si-Qi Liu and Youjin Zhang},
journal= {arXiv preprint arXiv:1701.03222},
year = {2018}
}
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52 pages