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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Communicated by Y. Kawahigashi
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Dubrovin, B., Liu, SQ. & Zhang, Y. Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures. Commun. Math. Phys. 361, 467–524 (2018). https://doi.org/10.1007/s00220-018-3176-y
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DOI: https://doi.org/10.1007/s00220-018-3176-y