Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures (1701.03222v1)

Published 12 Jan 2017 in math.DG and nlin.SI

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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